Heat kernel expansion: user's manual

[1]  P. Gilkey,et al.  Divergence terms in the supertrace heat asymptotics for the de Rham complex on a manifold with boundary , 2002, math-ph/0211020.

[2]  A. Barvinsky,et al.  Nonperturbative late time asymptotics for the heat kernel in gravity theory , 2003 .

[3]  K. Fujikawa,et al.  Topological anomalies from the path integral measure in superspace , 2003, hep-th/0305144.

[4]  S. G. Nibbelink.  Traces on orbifolds: anomalies and one-loop amplitudes , 2003, hep-th/0305139.

[5]  A. McKane,et al.  Functional determinants by contour integration methods , 2003, math-ph/0305010.

[6]  N. Khusnutdinov.  Semiclassical wormholes , 2003, hep-th/0304176.

[7]  B. Dolan.  The spectrum of the Dirac operator on coset spaces with homogeneous gauge fields , 2003, hep-th/0304037.

[8]  G. Grubb.  Logarithmic Terms in Trace Expansions of Atiyah–Patodi–Singer Problems , 2003, math/0302289.

[9]  G. Grubb.  Spectral Boundary Conditions for Generalizations of Laplace and Dirac Operators , 2003, math/0302286.

[10]  M. Sasaki,et al.  Bulk quantum effects for de Sitter branes in AdS5 , 2003, hep-th/0302143.

[11]  S. Fulling.  Systematics of the relationship between vacuum energy calculations and heat-kernel coefficients , 2003, quant-ph/0302117.

[12]  G. M. Graf,et al.  The Heat Kernel Expansion for the Electromagnetic Field in a Cavity , 2003, math-ph/0302035.

[13]  K. Milton.  Calculating Casimir Energies in Renormalizable Quantum Field Theory , 2002, hep-th/0401117.

[14]  E. Elizalde,et al.  Casimir effect in de Sitter and Anti-de Sitter braneworlds , 2002, hep-th/0209242.

[15]  P. Gilkey,et al.  Duality symmetry of the p-form effective action and supertrace of the twisted de Rham complex , 2002, hep-th/0209125.

[16]  P. Gilkey,et al.  Heat asymptotics with spectral boundary conditions. II , 2000, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[17]  P. Gilkey,et al.  Supertrace Divergence Terms for the Witten Laplacian , 2002, math-ph/0212023.

[18]  I. Drozdov.  Vacuum polarization by a magnetic flux of special rectangular form , 2002, hep-th/0210282.

[19]  A. Barvinsky,et al.  New nonlocal effective action , 2002 .

[20]  P. Gilkey,et al.  Heat Trace Asymptotics Defined by Transfer Boundary Conditions , 2002, hep-th/0208130.

[21]  ERRATUM: Spectral asymptotics in eigenvalue problems with nonlinear dependence on the spectral parameterSpectral asymptotics in eigenvalue problems with nonlinear dependence on the spectral parameter , 2002 .

[22]  H. Weigel,et al.  Calculating vacuum energies in renormalizable quantum field theories:: A new approach to the Casimir problem , 2002, hep-th/0207120.

[23]  G. Esposito,et al.  Chiral bag boundary conditions on the ball , 2002, hep-th/0207109.

[24]  V. Nesterenko,et al.  Non-smoothness of the boundary and the relevant heat kernel coefficients , 2002, hep-th/0207038.

[25]  A. Wipf,et al.  Spectral asymmetry for bag boundary conditions , 2002, hep-th/0205199.

[26]  D. Vassilevich,et al.  Dilaton gravity in two-dimensions , 2002, hep-th/0204253.

[27]  S. Sushkov.  NEW FORM OF THE RENORMALIZATION COUNTERTERMS FOR A SCALAR FIELD , 2002 .

[28]  P. Nieuwenhuizen,et al.  Heat kernels and zeta-function regularization for the mass of the supersymmetric kink , 2002, hep-th/0203066.

[29]  P. Nieuwenhuizen,et al.  Heat kernels and zeta-function regularization for the mass of the susy kink , 2002 .

[30]  Ground state energy in a wormhole space-time , 2002, hep-th/0202068.

[31]  J. Zinn-Justin.  Chiral anomalies and topology , 2002, hep-th/0201220.

[32]  D. Fursaev.  Spectral Asymptotics of Eigen-value Problems with Non-linear Dependence on the Spectral Parameter , 2002, hep-th/0201219.

[33]  M. A. León,et al.  Generalized zeta functions and one-loop corrections to quantum kink masses , 2002, hep-th/0201084.

[34]  J. Boer,et al.  Permeable conformal walls and holography , 2001, hep-th/0111210.

[35]  H. Falomir,et al.  Boundary dynamics and multiple reflection expansion for Robin boundary conditions , 2001, hep-th/0111073.

[36]  M. Bordag,et al.  Heat kernel coefficients and divergencies of the Casimir energy for the dispersive sphere , 2001, hep-th/0110217.

[37]  C. Ordóñez,et al.  Renormalized path integral for the two-dimensional δ-function interaction , 2001, hep-th/0110176.

[38]  D. Vassilevich.  Spectral geometry for strings and branes , 2001, hep-th/0107083.

[39]  G. Grubb.  Trace formulas for parameter-dependent pseudodifferential operators , 2002 .

[40]  R. Seeley.  Trace expansions for mixed boundary problems , 2002 .

[41]  I. Avramidi.  Heat Kernel Asymptotics of Zaremba Boundary Value Problem , 2001, math-ph/0110020.

[42]  G. Berredo-Peixoto.  A NOTE ON THE HEAT KERNEL METHOD APPLIED TO FERMIONS , 2001, hep-th/0108223.

[43]  A. Bytsenko.  Heat-kernel asymptotics of locally symmetric spaces of rank one and Chern-Simons invariants , 2001, hep-th/0108032.

[44]  I. Avramidi.  Heat Kernel Approach in Quantum Field Theory , 2001, math-ph/0107018.

[45]  D. Fursaev.  Statistical Mechanics, Gravity, and Euclidean Theory , 2001, hep-th/0107089.

[46]  A. Osipov,et al.  Large mass invariant asymptotics of the effective action , 2001, hep-th/0106226.

[47]  U. Mohideen,et al.  New developments in the Casimir effect , 2001, quant-ph/0106045.

[48]  A. Osipov,et al.  Inverse mass expansion of the one-loop effective action , 2001, hep-th/0104165.

[49]  Prescott,et al.  Large and infinite extra dimensions , 2001, hep-ph/0104152.

[50]  V. Rubakov.  Large and infinite extra dimensions: an introduction , 2001 .

[51]  H. Falomir,et al.  Divergencies in the Casimir energy for a medium with realistic ultraviolet behaviour , 2001, hep-th/0103050.

[52]  H. Falomir,et al.  Multiple reflection expansion and heat kernel coefficients , 2001, hep-th/0103037.

[53]  M. Bordag,et al.  Heat kernel coefficients for the dielectric cylinder , 2001, hep-th/0102193.

[54]  D. Vassilevich.  Spectral branes , 2001, hep-th/0102091.

[55]  P. Gilkey,et al.  Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario , 2001, hep-th/0101105.

[56]  A. A. Osipov,et al.  Generalized proper-time approach for the case of broken isospin symmetry , 2000, hep-ph/0012294.

[57]  L. Susskind,et al.  Bosonic M theory , 2000, hep-th/0012037.

[58]  A. Zelnikov,et al.  Discrete symmetries of functional determinants , 2000, hep-th/0009084.

[59]  G. Scarpetta,et al.  Casimir Energy of a Semi-Circular Infinite Cylinder , 2000, hep-th/0005257.

[60]  I. Avramidi,et al.  Heat Kernel Asymptotics of Operators with Non-Laplace Principal Part , 1999, math-ph/9905001.

[61]  J.S.Dowker,et al.  Smeared heat-kernel coefficients on the ball and generalized cone , 1998, hep-th/9803094.

[62]  G. Esposito.  Quantum gravity in four-dimensions , 2001 .

[63]  V. Bezerra,et al.  Ground state energy of massive scalar field inside a spherical region in the global monopole background , 2000, hep-th/0012264.

[64]  P. Gilkey,et al.  ON PROPERTIES OF THE ASYMPTOTIC EXPANSION OF THE HEAT TRACE FOR THE N=D PROBLEM , 2000, hep-th/0010199.

[65]  I. Moss.  Heat kernel expansions for distributional backgrounds , 2000, hep-th/0007185.

[66]  The N U D problem , 2000 .

[67]  A. Kamenshchik,et al.  Casimir energy in the axial gauge , 2000, hep-th/0006220.

[68]  J. S. Dowker.  Divergences in the Casimir energy , 2000 .

[69]  S. Nojiri,et al.  Bulk versus boundary (gravitational Casimir) effects in the quantum creation of an inflationary brane-world universe , 2000, hep-th/0006115.

[70]  D. Vassilevich,et al.  Renormalizability of the open string sigma model and emergence of D-branes , 2000, hep-th/0006108.

[71]  K. Kirsten,et al.  Spectral functions in mathematics and physics , 2000, hep-th/0007251.

[72]  P. Gilkey,et al.  Heat asymptotics with spectral boundary conditions , 2000, hep-th/0004020.

[73]  I. Avramidi.  Heat Kernel and Quantum Gravity , 2000 .

[74]  A. Wipf,et al.  Black hole pair creation in de Sitter space: a complete one-loop analysis , 2000, hep-th/0003081.

[75]  Y. Gusev,et al.  Two-dimensional effective action for matter fields coupled to the dilaton , 1999, hep-th/9910198.

[76]  V. Nesterenko,et al.  Spectral zeta functions for a cylinder and a circle , 1999, hep-th/9910097.

[77]  M. Bordag,et al.  Casimir force between Chern-Simons surfaces , 1999, hep-th/9911179.

[78]  Dimensional-reduction anomaly , 1999, hep-th/9909086.

[79]  I. Moss,et al.  Diagrams for heat kernel expansions , 1999, gr-qc/0101125.

[80]  G. Dunne.  Derivative expansion and soliton masses , 1999, hep-th/9907208.

[81]  M. Bordag,et al.  HEAT KERNEL EXPANSION FOR SEMITRANSPARENT BOUNDARIES , 1999, hep-th/9907076.

[82]  D. Vassilevich,et al.  Hawking radiation from dilaton gravity in 1 + 1 dimensions: a pedagogical review , 1999, gr-qc/9907041.

[83]  P. Gilkey,et al.  Heat kernel asymptotics with mixed boundary conditions , 1999, hep-th/9906144.

[84]  L. Randall,et al.  An Alternative to compactification , 1999, hep-th/9906064.

[85]  L. Randall,et al.  A Large mass hierarchy from a small extra dimension , 1999, hep-ph/9905221.

[86]  I. Shapiro,et al.  Vacuum polarization in Schwarzschild space-time by anomaly induced effective actions , 1999, hep-th/9904162.

[87]  S. Solodukhin.  Exact solution for a quantum field with δ-like interaction: effective action and UV renormalization , 1999 .

[88]  K. Milton.  The Casimir Effect: Physical Manifestations of Zero-Point Energy , 1999, hep-th/9901011.

[89]  D. Vassilevich,et al.  Effective action and Hawking radiation for dilaton coupled scalars in two dimensions , 1998, hep-th/9811092.

[90]  H. Falomir,et al.  Finite density and temperature in hybrid bag models , 1998, hep-th/9811046.

[91]  M. Bordag,et al.  Ground state energy for a penetrable sphere and for a dielectric ball , 1998, hep-th/9811015.

[92]  E. Elizalde,et al.  Heat kernel coefficients for Chern-Simons boundary conditions in QED , 1998, hep-th/9809211.

[93]  C. G. Beneventano,et al.  DIRAC FIELDS IN THE BACKGROUND OF A MAGNETIC FLUX STRING AND SPECTRAL BOUNDARY CONDITIONS , 1998, hep-th/9809081.

[94]  J. S. Dowker,et al.  The a(3/2) heat kernel coefficient for oblique boundary conditions , 1998, hep-th/9806168.

[95]  G. Esposito.  Non-local boundary conditions in Euclidean quantum gravity , 1998, gr-qc/9806057.

[96]  I. Avramidi,et al.  Gauge Theories on Manifolds with Boundary , 1997, hep-th/9710048.

[97]  M. Scandurra.  The ground state energy of a massive scalar field in the background of a semi-transparent spherical shell , 1998, hep-th/9811164.

[98]  I. Klebanov,et al.  D-Branes and Dual Gauge Theories in Type 0 Strings , 1998, hep-th/9811035.

[99]  J. S. Dowker,et al.  The heat-kernel coefficient in the presence of boundary discontinuities , 1998 .

[100]  E. Elizalde,et al.  Casimir energy for a massive fermionic quantum field with a spherical boundary , 1998 .

[101]  J. S. Dowker.  Conformal anomaly in two-dimensional dilaton-scalar theory , 1998 .

[102]  Ivan G. Avramidi,et al.  New invariants in the 1-loop divergences on manifolds with boundary , 1998 .

[103]  M. Bordag,et al.  PATH-INTEGRAL QUANTIZATION OF ELECTRODYNAMICS IN DIELECTRIC MEDIA , 1997, hep-th/9709084.

[104]  Ivan G. Avramidi,et al.  Lack of strong ellipticity in Euclidean quantum gravity , 1997, hep-th/9708163.

[105]  A. V. D. Ven.  Index-free heat kernel coefficients , 1997, hep-th/9708152.

[106]  K. Kirsten.  LETTER TO THE EDITOR: The ? heat kernel coefficient on a manifold with boundary , 1997, hep-th/9708081.

[107]  S. Nojiri,et al.  Trace-anomaly-induced effective action for 2D and 4D dilaton coupled scalars , 1997, hep-th/9706143.

[108]  A. Miković,et al.  One-loop effective action for spherical scalar field collapse , 1997, hep-th/9706066.

[109]  P. Gilkey,et al.  Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary , 1997, hep-th/9702178.

[110]  E. Elizalde,et al.  Zeta-Function Regularization, the Multiplicative Anomaly and the Wodzicki Residue , 1997, hep-th/9701060.

[111]  H. Falomir,et al.  Dirac operator on a disk with global boundary conditions , 1996, hep-th/9609194.

[112]  Peter B. Gilkey,et al.  Logarithmic terms in asymptotic expansions of heat operator traces , 1998 .

[113]  Klaus Kirsten.  The heat kernel coefficient on a manifold with boundary , 1998 .

[114]  S. Solodukhin.  Exact solution for a quantum field with $\delta$-like interaction , 1998, hep-th/9801054.

[115]  J.S.Dowker,et al.  The C_2 heat-kernel coefficient in the presence of boundary discontinuities , 1997, hep-th/9712019.

[116]  E. Elizalde,et al.  Casimir energies for massive scalar fields in a spherical geometry , 1997 .

[117]  D. Vassilevich.  The Faddeev–Popov trick in the presence of boundaries , 1997, hep-th/9709182.

[118]  D. Vassilevich,et al.  Hawking Radiation for Non-Minimally Coupled Matter from Generalized 2-D Black Hole Models , 1997, hep-th/9707041.

[119]  J.S.Dowker,et al.  Heat kernel coefficients for oblique boundary conditions , 1997, hep-th/9706129.

[120]  S. Nojiri,et al.  Trace Anomaly and Nonlocal Effective Action for 2-D Conformally Invariant Scalar Interacting with Dilaton , 1997, hep-th/9706009.

[121]  S. Hawking,et al.  Trace anomaly of dilaton coupled scalars in two-dimensions , 1997, hep-th/9705236.

[122]  V. Gusynin,et al.  Computation of the DeWitt-Seeley-Gilkey coefficient E4 for nonminimal operator in curved space , 1997 .

[123]  G. Esposito.  Dirac Operator and Spectral Geometry , 1997, hep-th/9704016.

[124]  A. Kamenshchik,et al.  Euclidean Quantum Gravity on Manifolds with Boundary , 1997 .

[125]  P. Pronin,et al.  One-loop divergences in theories with an arbitrary nonminimal operator in curved space , 1997 .

[126]  Pedro J. Silva,et al.  BRST-invariant boundary conditions for gauge theories , 1996, gr-qc/9610023.

[127]  E. Elizalde,et al.  Zeta function for the Laplace operator acting on forms in a ball with gauge boundary conditions , 1996, hep-th/9605026.

[128]  H. Osborn,et al.  Conserved currents and the energy-momentum tensor in conformally invariant theories for general dimensions , 1996, hep-th/9605009.

[129]  S. Odintsov.  Effective action in multidimensional gauged supergravities and spontaneous compactification , 1997 .

[130]  J. S. Dowker,et al.  Spectral invariants for the Dirac equation on the d ball with various boundary conditions , 1996 .

[131]  G. Miele,et al.  Heat kernel coefficients and spectra of the vector Laplacians on spherical domains with conical singularities , 1996, hep-th/9610011.

[132]  S. Yajima.  Evaluation of the heat kernel in Riemann-Cartan space , 1996 .

[133]  E. Elizalde,et al.  Casimir energies for massive fields in the bag , 1996, hep-th/9608071.

[134]  Esposito,et al.  One-loop effective action for Euclidean Maxwell theory on manifolds with a boundary. , 1996, Physical review. D, Particles and fields.

[135]  J. S. Dowker.  Robin conditions on the Euclidean ball , 1996 .

[136]  Ivan G. Avramidi,et al.  Boundary operators in Euclidean quantum gravity , 1996, hep-th/9603021.

[137]  G. Grubb,et al.  Zeta and eta functions for Atiyah-Patodi-Singer operators , 1996 .

[138]  E. Elizalde,et al.  Antisymmetric tensor fields on spheres: Functional determinants and non‐local counterterms , 1996, hep-th/9602113.

[139]  M. Bordag,et al.  Heat-Kernels and functional determinants on the generalized cone , 1996 .

[140]  D. Vassilevich,et al.  Heat kernel for nonminimal operators on a Kähler manifold , 1996, hep-th/9601090.

[141]  J. S. Dowker.  Spin on the 4-ball , 1996 .

[142]  A. Kamenshchik,et al.  1-loop effective action on the 4-ball , 1996, hep-th/9601006.

[143]  A. Barvinsky,et al.  Non-minimal coupling, boundary terms and renormalization of the Einstein-Hilbert action and black hole entropy , 1995, gr-qc/9512047.

[144]  D. Vassilevich,et al.  A diffeomorphism-invariant eigenvalue problem for metric perturbations in a bounded region , 1995, gr-qc/9509051.

[145]  G. Cognola,et al.  Heat-kernel coefficients and functional determinants for higher-spin fields on the ball , 1995, hep-th/9508088.

[146]  A. Bytsenko,et al.  Quantum fields and extended objects in space-times with constant curvature spatial section , 1995, hep-th/9505061.

[147]  E. Elizalde,et al.  Heat kernel coefficients of the Laplace operator on the D‐dimensional ball , 1995, hep-th/9501064.

[148]  R. Bertlmann,et al.  Anomalies in Quantum Field Theory , 2022 .

[149]  G. Grubb,et al.  Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems , 1995 .

[150]  E. Elizalde.  Ten Physical Applications of Spectral Zeta Functions , 1995 .

[151]  D. Vassilevich.  On Gauge-Invariant Boundary Conditions for 2-D Gravity with Dynamical Torsion , 1995 .

[152]  Actor,et al.  Casimir effect for soft boundaries. , 1995, Physical review. D, Particles and fields.

[153]  D. Vassilevich.  On gauge independence in quantum gravity , 1995, hep-th/9509069.

[154]  S. Solodukhin,et al.  Description of the Riemannian geometry in the presence of conical defects. , 1995, Physical review. D, Particles and fields.

[155]  H. Falomir,et al.  Cheshire Cat Scenario in a 3 + 1 dimensional Hybrid Chiral Bag , 1995, hep-ph/9507347.

[156]  A. Kamenshchik,et al.  Mixed boundary conditions in Euclidean quantum gravity , 1995, gr-qc/9506092.

[157]  J. Barbón.  Generalized abelian S-duality and coset constructions , 1995, hep-th/9506137.

[158]  J. S. Dowker,et al.  Further functional determinants , 1995 .

[159]  E. Elizalde,et al.  Zeta function determinant of the Laplace operator on theD-dimensional ball , 1995, hep-th/9505157.

[160]  Cho,et al.  zeta functions for nonminimal operators. , 1995, Physical review. D, Particles and fields.

[161]  I. Avramidi.  Covariant algebraic method for calculation of the low-energy heat kernel , 1995, hep-th/9503132.

[162]  E. Mottola.  Functional integration over geometries , 1995, hep-th/9502109.

[163]  D. Vassilevich,et al.  The heat kernel for deformed spheres , 1995 .

[164]  A. Wipf,et al.  Gauge Theories in a Bag , 1994, hep-th/9412018.

[165]  Vassilevich,et al.  QED on a curved background and on manifolds with boundaries: Unitarity versus covariance. , 1994, Physical review. D, Particles and fields.

[166]  D. Vassilevich.  Vector fields on a disk with mixed boundary conditions , 1994, gr-qc/9404052.

[167]  C. Grosche.  delta '-function perturbations and Neumann boundary conditions by path integration , 1994, hep-th/9402110.

[168]  A. Kamenshchik,et al.  Euclidean Maxwell theory in the presence of boundaries. II , 1994, gr-qc/9506061.

[169]  D. Vassilevich,et al.  Erratum: Extended chiral transformations including diquark fields as parameters , 1994, hep-ph/9411421.

[170]  N. Shtykov,et al.  The heat kernel for deformed spheres , 1994, hep-th/9411214.

[171]  D. Vassilevich.  Heat kernel for antisymmetric tensor field on a disk , 1994 .

[172]  C. Schubert,et al.  An Improved Heat Kernel Expansion from Worldline Path Integrals , 1994, hep-th/9411177.

[173]  A. Kamenshchik,et al.  Coulomb gauge in one-loop quantum cosmology , 1994, gr-qc/9506062.

[174]  I. Avramidi.  The Heat kernel on symmetric spaces via integrating over the group of isometries , 1994, hep-th/9509079.

[175]  J. S. Dowker.  Functional determinants on spheres and sectors , 1994 .

[176]  S. Albeverio,et al.  Time-dependent propagator with point interaction , 1994 .

[177]  A. Wipf,et al.  Running Coupling Constants from Finite Size Effects , 1994 .

[178]  I. Avramidi.  A new algebraic approach for calculating the heat kernel in quantum gravity , 1994, hep-th/9406047.

[179]  D. Fursaev.  Spectral Geometry and One-loop Divergences on Manifolds with Conical Singularities , 1994, hep-th/9405143.

[180]  I. Moss,et al.  Conformal anomalies on Einstein spaces with boundary , 1994, gr-qc/9405044.

[181]  A. Barvinsky,et al.  The basis of nonlocal curvature invariants in quantum gravity theory. Third order. , 1994 .

[182]  A.O.Barvinsky,et al.  The basis of nonlocal curvature invariants in quantum gravity theory , 1994, gr-qc/9404061.

[183]  A. Barvinsky,et al.  Asymptotic behaviors of the heat kernel in covariant perturbation theory , 1994, gr-qc/9404063.

[184]  Path Integral Approach to Quantum Physics: An Introduction , 1994 .

[185]  G. Esposito.  Gauge-averaging functionals for Euclidean Maxwell theory in the presence of boundaries , 1994, gr-qc/9506060.

[186]  A. Leonidov,et al.  On the heat kernel in covariant background gauge , 1994 .

[187]  A. Wipf,et al.  On 4D Hawking radiation from the effective action , 1994, hep-th/9403018.

[188]  Kamenshchik,et al.  Fermions in one-loop quantum cosmology. II. The problem of correspondence between covariant and noncovariant formalisms. , 1994, Physical review. D, Particles and fields.

[189]  Michael G. Schmidt,et al.  The higher derivative expansion of the effective action by the string-inspired method. I , 1994, hep-th/9707189.

[190]  Cognola,et al.  Free and self-interacting scalar fields in the presence of conical singularities. , 1993, Physical review. D, Particles and fields.

[191]  L. Vanzo,et al.  The trace of the heat kernel on a compact hyperbolic 3‐orbifold , 1993, hep-th/9303028.

[192]  Deon Mark Solomons,et al.  The wave function of the universe , 1994 .

[193]  D. Fursaev.  The heat-kernel expansion on a cone and quantum fields near cosmic strings , 1994 .

[194]  LETTER TO THE EDITOR: A note on Polyakov's non-local form of the effective action , 1993 .

[195]  Twenty years of the Weyl anomaly , 1993, hep-th/9308075.

[196]  K. Schleich,et al.  Generalized sums over histories for quantum gravity (I). Smooth conifolds , 1993, gr-qc/9307015.

[197]  D. Vassilevich.  QUANTUM GRAVITY ON CP2 , 1993 .

[198]  I. Avramidi.  A new algebraic approach for calculating the heat kernel in gauge theories , 1993 .

[199]  D. Vassilevich.  ONE-LOOP QUANTUM GRAVITY ON DE SITTER SPACE , 1993 .

[200]  E. Aurell,et al.  On functional determinants of laplacians in polygons and simplicial complexes , 1993, hep-th/9304031.

[201]  Kamenshchik,et al.  Fermions in one-loop quantum cosmology. , 1993, Physical review. D, Particles and fields.

[202]  A. Schwarz,et al.  Dilation shift under duality and torsion of elliptic complex , 1992, hep-th/9210015.

[203]  A. Barvinsky,et al.  One-loop quantum cosmology: ζ-Function technique for the Hartle-Hawking wave function of the universe , 1992 .

[204]  Peter Chang,et al.  Vacuum energy on orbifold factors of spheres , 1992, hep-th/9210013.

[205]  D. Vassilevich.  Abelian gauge theories on homogeneous spaces , 1992 .

[206]  Y. Sitenko,et al.  Spectral boundary conditions and index theorem for two-dimensional compact manifold with boundary , 1992 .

[207]  Residues of the eta function for an operator of Dirac type with local boundary conditions , 1992 .

[208]  P. Gilkey,et al.  Residues of the eta function for an operator of Dirac type , 1992 .

[209]  D. Mcavity.  Heat kernel asymptotics for mixed boundary conditions , 1992 .

[210]  S. Reynaud,et al.  Causality, stability and passivity for a mirror in vacuum , 1992, quant-ph/0101080.

[211]  A. Kamenshchik,et al.  ζ-FUNCTION TECHNIQUE FOR QUANTUM COSMOLOGY: THE CONTRIBUTIONS OF MATTER FIELDS TO THE HARTLE-HAWKING WAVE FUNCTION OF THE UNIVERSE , 1992 .

[212]  H. Osborn,et al.  Quantum field theories on manifolds with curved boundaries: Scalar fields , 1992, cond-mat/9206009.

[213]  Santangelo,et al.  Free energy of a four-dimensional chiral bag. , 1992, Physical review. D, Particles and fields.

[214]  A. Barvinsky,et al.  1-loop quantum cosmology: the contributions of matter fields to the wavefunction of the universe , 1992 .

[215]  M. Vergne,et al.  Asymptotic Expansion of the Heat Kernel , 1992 .

[216]  Sergei D. Odintsov,et al.  Effective Action in Quantum Gravity , 1992 .

[217]  A. Wipf,et al.  ANALYTIC RESULTS FOR THE EFFECTIVE ACTION , 1991, 0906.2851.

[218]  D. Vassilevich.  Topologically nontrivial supermembranes , 1991 .

[219]  V. Gusynin,et al.  Heat kernel expansion for nonminimal differential operations and manifolds with torsion , 1991 .

[220]  Esposito,et al.  Spectral boundary conditions in one-loop quantum cosmology. , 1991, Physical review. D, Particles and fields.

[221]  D. Vassilevich,et al.  REMARKS ON THE CONFORMAL-FACTOR PROBLEM IN GRAVITY , 1991 .

[222]  S. Fulling,et al.  Heat equation asymptotics of ‘‘nonminimal’’ operators on differential forms , 1991 .

[223]  H. Osborn,et al.  Asymptotic expansion of the heat kernel for generalized boundary conditions , 1991 .

[224]  H. Luckock.  Mixed boundary conditions in quantum field theory , 1991 .

[225]  Esposito,et al.  Local boundary conditions for the Dirac operator and one-loop quantum cosmology. , 1991, Physical review. D, Particles and fields.

[226]  H. Osborn,et al.  A DeWitt expansion of the heat kernel for manifolds with a boundary , 1991 .

[227]  H. Osborn.  Weyl consistency conditions and a local renormalisation group equation for general renormalisable field theories , 1991 .

[228]  D. Vassilevich,et al.  Induced classical gravity , 1991 .

[229]  V. Lyakhovsky,et al.  DeWitt-Schwinger expansion for projective and Grassmann spaces , 1991 .

[230]  Santangelo,et al.  Alternative approach to chiral-bag fermionic determinants. , 1991, Physical review. D, Particles and fields.

[231]  P. Gilkey,et al.  The asymptotics of the Laplacian on a manifold with boundary , 1995, hep-th/9504029.

[232]  Ivan G. Avramidi,et al.  The Covariant Technique for Calculation of One Loop Effective Action , 1991 .

[233]  G. Veneziano,et al.  Quantum gravity at large distances and the cosmological constant , 1990 .

[234]  R. Camporesi.  Harmonic analysis and propagators on homogeneous spaces , 1990 .

[235]  P. Mazur,et al.  The path integral measure, conformal factor problem and stability of the ground state of quantum gravity , 1990 .

[236]  L. Vanzo,et al.  A new algorithm for asymptotic heat kernel expansion for manifolds with boundary , 1990 .

[237]  M. Muschietti,et al.  Fermionic determinants for chiral‐bag‐like two‐dimensional systems , 1990 .

[238]  J. S. Dowker,et al.  Conformal transformations and the effective action in the presence of boundaries , 1990 .

[239]  Ivan G. Avramidi.  The covariant technique for the calculation of the heat kernel asymptotic expansion , 1990 .

[240]  A. Barvinsky,et al.  Covariant perturbation theory (II). Second order in the curvature. General algorithms , 1990 .

[241]  A. Barvinsky,et al.  Covariant perturbation theory (III). Spectral representations of the third-order form factors , 1990 .

[242]  V. Gusynin.  Seeley-Gilkey coefficients for fourth-order operators on a riemannian manifold , 1990 .

[243]  S. Odintsov.  Renormalisation group and boundary terms , 1990 .

[244]  Leading terms in the heat invariants , 1990 .

[245]  J. Schwinger.  Anomalies in Quantum Field Theory , 1990 .

[246]  P. A. Griffin,et al.  Curved spacetime one-loop gravity in a physical gauge , 1989 .

[247]  P. Amsterdamski,et al.  b 8 'Hamidew' coefficient for a scalar field , 1989 .

[248]  J. S. Dowker,et al.  The correct B4 coefficient , 1989 .

[249]  S. Fulling,et al.  Book-Review - Aspects of Quantum Field Theory in Curved Spacetime , 1989 .

[250]  J. Polchinski,et al.  New Connections Between String Theories , 1989 .

[251]  A. Vilenkin,et al.  Gravitational field of a global monopole. , 1989, Physical review letters.

[252]  I. Moss.  Boundary terms in the heat kernel expansion , 1989 .

[253]  J. S. Dowker.  Heat kernel expansion on a generalized cone , 1989 .

[254]  I. Avramidi.  Covariant methods of studying the nonlocal structure of an effective action , 1989 .

[255]  Ceresole,et al.  Curved-space trace, chiral, and Einstein anomalies from path integrals, using flat-space plane waves. , 1989, Physical review. D, Particles and fields.

[256]  Algebraic approach to Kaluza-Klein models , 1989 .

[257]  S. Fulling.  Aspects of Quantum Field Theory in Curved Space-Time: Quantization of a static, scalar field theory , 1989 .

[258]  S. Odintsov,et al.  Effective Action in Multidimensional (Super)Gravities and Spontaneous Compactification (Quantum Aspects of Kaluza‐Klein Theories) , 1989 .

[259]  I. Avramidi.  Covariant Studies of Nonlocal Structure of Effective Action. (In Russian) , 1989 .

[260]  J. Melmed.  Conformal invariance and the regularised one-loop effective action , 1988 .

[261]  S. Yajima.  Evaluation of heat kernels in curved space , 1988 .

[262]  A. Wipf,et al.  Zeta Functions and the Casimir Energy , 1988, 0906.2817.

[263]  S. Zerbini,et al.  Seeley-De Witt coefficients in a Riemann-Cartan manifold , 1988 .

[264]  S. Odintsov,et al.  Unique effective action in Kaluza-Klein quantum theories and spontaneous compactification , 1988 .

[265]  Rescaling of the metric, invariant operators, and spontaneous compactification , 1988 .

[266]  Birmingham,et al.  Scalar and spinor Casimir energies in even-dimensional Kaluza-Klein spaces of the form M4 x SN1 x SN2 x , 1988, Physical review. D, Particles and fields.

[267]  R. Jackiw,et al.  Classical and quantum scattering on a cone , 1988 .

[268]  I. L. Buchbinder,et al.  Renormalisation group equations and effective action in curved spacetime , 1988 .

[269]  Louko.  Quantum cosmology with electromagnetism. , 1988, Physical review. D, Particles and fields.

[270]  Sergio Albeverio,et al.  Solvable Models in Quantum Mechanics , 1988 .

[271]  S. Odintsov,et al.  EFFECTIVE ACTION IN MULTI-DIMENSIONAL SUPERGRAVITIES AND INDUCED EINSTEIN GRAVITY , 1988 .

[272]  S. Yajima.  Mixed Anomalies in 4 and 6 Dimensional Space with Torsion , 1988 .

[273]  Milton,et al.  Casimir energies in M4 >= N for even N. Green's-function and zeta-function techniques. , 1987, Physical review. D, Particles and fields.

[274]  Birmingham.  Conformal anomaly in spherical spacetimes. , 1987, Physical review. D, Particles and fields.

[275]  Rubin,et al.  Vacuum energy of M4 >= M >= N in even dimensions. , 1987, Physical review. D, Particles and fields.

[276]  Schleich.  Conformal rotation in perturbative gravity. , 1987, Physical review. D, Particles and fields.

[277]  A. Barvinsky.  The wave function and the effective action in quantum cosmology: Covariant loop expansion , 1987 .

[278]  R. Seeley,et al.  The resolvent expansion for second order regular singular operators , 1987 .

[279]  I. L. Bukhbinder,et al.  Renormalization group equations and effective action in curved space-time , 1987 .

[280]  Frolov,et al.  Vacuum polarization in the gravitational field of a cosmic string. , 1987, Physical review. D, Particles and fields.

[281]  Orlando Alvarez.  Conformal Anomalies and the Index Theorem , 1987 .

[282]  C. Callan,et al.  String loop corrections to beta functions , 1987 .

[283]  A. Barvinsky,et al.  Beyond the Schwinger-DeWitt technique: Converting loops into trees and in-in currents , 1987 .

[284]  C. Callan,et al.  Open strings in background gauge fields , 1987 .

[285]  A. Wipf,et al.  Scattering theory, U(1) anomaly and index theorems for compact and non-compact manifolds , 1987 .

[286]  P. Gilkey.  Leading terms in the asymptotics of the heat equation , 1987 .

[287]  Allen,et al.  Graviton propagator in de Sitter space. , 1986, Physical review. D, Particles and fields.

[288]  I. Buchbinder,et al.  Matter superfields in external supergravity:: Green functions, effective action and superconformal anomalies , 1986 .

[289]  V. Gusynin,et al.  Functional determinants and effective action for conformal scalar and spinor fields in an external gravitational field , 1986 .

[290]  B. Gaveau,et al.  Explicit time-dependent Schrodinger propagators , 1986 .

[291]  A. Niemi,et al.  Index theorems on open infinite manifolds , 1986 .

[292]  Z. Ma.  Axial anomaly and index theorem for a two-dimensional disc with boundary , 1986 .

[293]  J. Namazi,et al.  A singular integral , 1986 .

[294]  V. Gusynin,et al.  Functional Determinants and Effective Action for Conformal Scalar and Spinor Fields in External Gravitational Field. (In Russian) , 1986 .

[295]  C. Callan,et al.  Strings in background fields , 1985 .

[296]  E. Fradkin,et al.  Non-linear electrodynamics from quantized strings , 1985 .

[297]  D. Friedan.  On two-dimensional conformal invariance and the field theory of strings , 1985 .

[298]  E. Braaten,et al.  Torsion and geometrostasis in nonlinear sigma models , 1985 .

[299]  Shiro Sawada,et al.  Spontaneous Compactification in Generalized Candelas-weinberg Models , 1985 .

[300]  Rafael I. Nepomechie,et al.  Calculating heat kernels. , 1985, Physical review. D, Particles and fields.

[301]  E. Fradkin,et al.  Quantum equivalence of dual field theories , 1985 .

[302]  E. Elizalde,et al.  ζ-Regularized Lagrangians for massive quarks in constant background mean-fields , 1985 .

[303]  Parker,et al.  Explicit curvature dependence of coupling constants. , 1985, Physical review. D, Particles and fields.

[304]  Parker,et al.  Proof of summed form of proper-time expansion for propagator in curved space-time. , 1985, Physical review. D, Particles and fields.

[305]  S. Odintsov,et al.  Asymptotical conformal invariance in curved space-time , 1985 .

[306]  A. Barvinsky,et al.  The Generalized Schwinger-Dewitt Technique in Gauge Theories and Quantum Gravity , 1985 .

[307]  Parker,et al.  New form for the coincidence limit of the Feynman propagator, or heat kernel, in curved spacetime. , 1985, Physical review. D, Particles and fields.

[308]  S. Shenker,et al.  Conformal Invariance, Unitarity and Two-Dimensional Critical Exponents , 1985 .

[309]  M. Ninomiya,et al.  Axial anomaly and index theorem for manifolds with boundary , 1985 .

[310]  ZHONG-QI MAt.  AXIAL ANOMALY AND INDEX THEOREM FOR A TWO-DIMENSIONAL DISK WITH BOUNDARY * , 1985 .

[311]  I. L. Bukhbinder.  Renormalization-group equations in curved space-time , 1984 .

[312]  Effective lagrangian for ordinary quarks in a background field , 1984 .

[313]  J. Brüning.  Heat equation asymptotics for singular sturm-Liouville operators , 1984 .

[314]  S. Weinberg,et al.  Calculation of gauge couplings and compact circumferences from self-consistent dimensional reduction , 1984 .

[315]  S. Shenker,et al.  Conformal invariance, unitarity, and critical exponents in two dimensions , 1984 .

[316]  L. Parker,et al.  Renormalization Group Analysis of Grand Unified Theories in Curved Space-time , 1984 .

[317]  E. Fradkin,et al.  One-loop effective potential in gauged O(4) supergravity and the problem of the Λ term , 1984 .

[318]  L. Bonora,et al.  Finite-mode regularization of the fermion functional integral , 1984 .

[319]  R. J. Riegert.  A non-local action for the trace anomaly , 1984 .

[320]  S. Helgason.  Groups and geometric analysis , 1984 .

[321]  L. Bonora,et al.  Finite-mode regularization of the fermion integral (II) , 1984 .

[322]  P. Hraskó,et al.  The fermion boundary condition and the θ-angle in QED2 , 1984 .

[323]  G. Hooft,et al.  Three-dimensional Einstein gravity: Dynamics of flat space , 1984 .

[324]  G. Grubb.  On the Functional Calculus of Pseudo-Differential Boundary Problems , 1984 .

[325]  R. Jaffe,et al.  The multiple reflection expansion for confined scalar, Dirac, and gauge fields , 1983 .

[326]  E. Fradkin,et al.  Quantum Properties of Higher Dimensional and Dimensionally Reduced Supersymmetric Theories , 1983 .

[327]  J. Goldstone,et al.  Baryon Number in Chiral Bag Models , 1983 .

[328]  M. Reuter,et al.  Effective QCD-lagrangian with ξ-function regularization , 1983 .

[329]  G. Brown,et al.  Topological Soliton Bag Model for Baryons , 1983 .

[330]  E. Witten.  Global Aspects of Current Algebra , 1983 .

[331]  T. Appelquist,et al.  Quantum dynamics of Kaluza-Klein theories , 1983 .

[332]  Bernard Roth,et al.  Fermions and stability in five-dimensional Kaluza-Klein theory , 1983 .

[333]  Mikhail Shaposhnikov,et al.  Do we live inside a domain wall , 1983 .

[334]  Orlando Alvarez,et al.  Theory of Strings with Boundaries: Fluctuations, Topology, and Quantum Geometry , 1983 .

[335]  Y. Obukhov.  SPECTRAL GEOMETRY OF THE RIEMANN-CARTAN SPACE-TIME , 1983 .

[336]  T. Appelquist,et al.  Quantum effects in Kaluza-Klein theories , 1983 .

[337]  N. Hurt.  Geometric Quantization in Action , 1983 .

[338]  Y. Kogan,et al.  SPONTANEOUS COMPACTIFICATION IN THE KALUZA-KLEIN MODELS AND THE CASIMIR EFFECT , 1983 .

[339]  P. Gilkey,et al.  The eta invariant for a class of elliptic boundary value problems , 1983 .

[340]  M. Hortaçsu.  Index theorem for merons , 1983 .

[341]  Jeff Cheeger,et al.  Spectral geometry of singular Riemannian spaces , 1983 .

[342]  P. Candelas.  Vacuum energy in the presence of dielectric and conducting surfaces , 1982 .

[343]  Edward Witten,et al.  Constraints on Supersymmetry Breaking , 1982 .

[344]  E. Fradkin,et al.  Renormalizable asymptotically free quantum theory of gravity , 1982 .

[345]  J. Strathdee,et al.  KALUZA-KLEIN THEORY , 1982 .

[346]  S. Adler,et al.  Flux confinement in the leading logarithm model , 1982 .

[347]  Y. Obukhov.  THE GEOMETRICAL APPROACH TO ANTISYMMETRIC TENSOR FIELD-THEORY , 1982 .

[348]  E. Witten.  Supersymmetry and Morse theory , 1982 .

[349]  R. Slansky.  Group theory for unified model building , 1981 .

[350]  V. Frolov,et al.  Spherically Symmetric Collapse in Quantum Gravity , 1981 .

[351]  Lance Smith,et al.  The asymptotics of the heat equation for a boundary value problem , 1981 .

[352]  A. Polyakov.  Quantum Geometry of Bosonic Strings , 1981 .

[353]  K. Symanzik.  SCHRODINGER REPRESENTATION AND CASIMIR EFFECT IN RENORMALIZABLE QUANTUM FIELD THEORY , 1981 .

[354]  N. D. Birrell,et al.  Quantum fields in curved space , 2007 .

[355]  M. Duff,et al.  Quantizing gravity with a cosmological constant , 1980 .

[356]  G. A. Miller,et al.  Pionic corrections to the MIT bag model: The (3,3) resonance , 1980 .

[357]  Andrew J. Hanson,et al.  Gravitation, Gauge Theories and Differential Geometry , 1980 .

[358]  K. Symanzik,et al.  ANOMALIES OF THE FREE LOOP WAVE EQUATION IN THE WKB APPROXIMATION , 1980 .

[359]  P. Gilkey.  The spectral geometry of the higher order Laplacian , 1980 .

[360]  P. Nieuwenhuizen,et al.  Quantum inequivalence of different field representations , 1980 .

[361]  K. Fujikawa.  Comment on Chiral and Conformal Anomalies , 1980 .

[362]  K. Milton,et al.  Semiclassical electron models: Casimir self-stress in dielectric and conducting balls , 1980 .

[363]  K. Fujikawa.  Path integral for gauge theories with fermions , 1980 .

[364]  J. S. Dowker,et al.  Finite temperature field theory with boundaries: Stress tensor and surface action renormalisation , 1980 .

[365]  K. Rothe,et al.  Zero-energy eigenstates for the Dirac boundary problem , 1980 .

[366]  G. A. Miller,et al.  The Cloudy Bag Model. 1. The (3,3) Resonance , 1980 .

[367]  L. Faddeev,et al.  Gauge fields, introduction to quantum theory , 1980 .

[368]  K. Rothe,et al.  Generalized two-dimensional QED and functional determinants , 1979 .

[369]  A. Schwarz,et al.  Anomalies and elliptic operators , 1979 .

[370]  M. Duff,et al.  New gravitational index theorems and super theorems , 1979 .

[371]  K. Fujikawa.  Path Integral Measure for Gauge Invariant Fermion Theories , 1979 .

[372]  G. Brown,et al.  The little bag , 1979 .

[373]  D. Gross,et al.  A Theory of Hadronic Structure , 1979 .

[374]  A. Schwarz.  The partition function of a degenerate functional , 1979 .

[375]  P. Gilkey.  Recursion relations and the asymptotic behavior of the eigenvalues of the laplacian , 1979 .

[376]  G. Gibbons,et al.  Quantizing gravitational instantons , 1978 .

[377]  Heinz Pagels,et al.  Vacuum of the quantum Yang-Mills theory and magnetostatics☆ , 1978 .

[378]  J. Schwinger,et al.  Casimir effect in dielectrics , 1978 .

[379]  G. Kennedy.  Boundary terms in the Schwinger-DeWitt expansion: flat space results , 1978 .

[380]  S. Hawking,et al.  Path Integrals and the Indefiniteness of the Gravitational Action , 1978 .

[381]  J. S. Dowker,et al.  Finite temperature and boundary effects in static space-times , 1978 .

[382]  J. Kuti,et al.  The quark bag model , 1978 .

[383]  S. Ferrara,et al.  SU(4) Invariant Supergravity Theory , 1978 .

[384]  H. Römer,et al.  “Fractional winding numbers” and surface effects , 1977 .

[385]  S. Hawking.  Zeta function regularization of path integrals in curved spacetime , 1977 .

[386]  D. D. Sokolov,et al.  The structure of the curvature tensor at conical singularities , 1977 .

[387]  L. Brown,et al.  Stress-tensor trace anomaly in a gravitational metric: General theory, Maxwell field , 1977 .

[388]  H. Tsao.  Conformal anomalies in a general background metric , 1977 .

[389]  R. Balian,et al.  Electromagnetic waves near perfect conductors. I. Multiple scattering expansions. Distribution of modes , 1977 .

[390]  J. S. Dowker.  Quantum field theory on a cone , 1977 .

[391]  A. Barut,et al.  Theory of group representations and applications , 1977 .

[392]  C. Isham,et al.  Non-local conformal anomalies☆ , 1976 .

[393]  J. S. Dowker,et al.  Effective Lagrangian and energy-momentum tensor in de Sitter space , 1976 .

[394]  I. Batalin,et al.  Vacuum Polarization by a Source-Free Gauge Field , 1976 .

[395]  A. Chodos,et al.  Chiral invariance in a bag theory , 1975 .

[396]  T. DeGrand,et al.  Masses and Other Parameters of the Light Hadrons , 1975 .

[397]  V. K. Patodi,et al.  Spectral asymmetry and Riemannian Geometry. I , 1973, Mathematical Proceedings of the Cambridge Philosophical Society.

[398]  P. Gilkey.  The spectral geometry of a Riemannian manifold , 1975 .

[399]  R. Jaffe,et al.  Baryon Structure in the Bag Theory , 1974 .

[400]  M. Duff,et al.  Trace anomalies in dimensional regularization , 1974 .

[401]  V. Weisskopf,et al.  A New Extended Model of Hadrons , 1974 .

[402]  G. Grubb.  Properties of normal boundary problems for elliptic even-order systems , 1974 .

[403]  V. K. Patodi,et al.  On the heat equation and the index theorem , 1973 .

[404]  Peter B. Gilkey,et al.  Curvature and the eigenvalues of the Laplacian for elliptic complexes , 1973 .

[405]  R. T. Waechter.  On hearing the shape of a drum: an extension to higher dimensions , 1972, Mathematical Proceedings of the Cambridge Philosophical Society.

[406]  Mark S. C. Reed,et al.  Method of Modern Mathematical Physics , 1972 .

[407]  B. Zumino,et al.  Consequences of anomalous ward identities , 1971 .

[408]  K. Stewartson,et al.  On hearing the shape of a drum: further results , 1971, Mathematical Proceedings of the Cambridge Philosophical Society.

[409]  J. S. Dowker.  Quantum mechanics on group space and Huygens' principle , 1971 .

[410]  P. Greiner.  An asymptotic expansion for the heat equation , 1971 .

[411]  R. Balian,et al.  DISTRIBUTION OF EIGENFREQUENCIES FOR THE WAVE EQUATION IN A FINITE DOMAIN. I. THREE-DIMENSIONAL PROBLEM WITH SMOOTH BOUNDARY SURFACE. , 1970 .

[412]  Robert T. Seeley,et al.  THE RESOLVENT OF AN ELLIPTIC BOUNDARY PROBLEM. , 1969 .

[413]  S. Adler.  Axial vector vertex in spinor electrodynamics , 1969 .

[414]  B. Dewitt.  QUANTUM THEORY OF GRAVITY. III. APPLICATIONS OF THE COVARIANT THEORY. , 1967 .

[415]  B. Dewitt.  Quantum Theory of Gravity. I. The Canonical Theory , 1967 .

[416]  H. McKean,et al.  Curvature and the Eigenvalues of the Laplacian , 1967 .

[417]  W. Israel.  Singular hypersurfaces and thin shells in general relativity , 1967 .

[418]  Robert T. Seeley,et al.  Complex powers of an elliptic operator , 1967 .

[419]  B. Dewitt.  QUANTUM THEORY OF GRAVITY. II. THE MANIFESTLY COVARIANT THEORY. , 1967 .

[420]  Robert T. Seeley,et al.  SINGULAR INTEGRALS AND BOUNDARY VALUE PROBLEMS. , 1966 .

[421]  M. Kac.  Can One Hear the Shape of a Drum , 1966 .

[422]  Bryce S. DeWitt,et al.  Dynamical theory of groups and fields , 1964 .

[423]  Michael Atiyah,et al.  The index of elliptic operators on compact manifolds , 1963 .

[424]  K. Nomizu,et al.  Foundations of Differential Geometry , 1963 .

[425]  F. Berezin,et al.  A Remark on Schrodinger's equation with a singular potential , 1960 .

[426]  Julian Schwinger,et al.  On gauge invariance and vacuum polarization , 1951 .

[427]  S. Minakshisundaram.  A Generalization of Epstein Zeta Functions , 1949, Canadian Journal of Mathematics.

[428]  S. Minakshisundaram,et al.  Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds , 1949, Canadian Journal of Mathematics.

[429]  J. C. Jaeger,et al.  Conduction of Heat in Solids , 1952 .

[430]  D. F. Hays,et al.  Table of Integrals, Series, and Products , 1966 .

[431]  W. D. Evans,et al.  PARTIAL DIFFERENTIAL EQUATIONS , 1941 .

[432]  V. Fock.  Proper time in classical and quantum mechanics , 1937 .

[433]  W. Heisenberg,et al.  Folgerungen aus der Diracschen Theorie des Positrons , 1936 .

[434]  J. Synge.  A Characteristic Function in Riemannian Space and its Application to the Solution of Geodesic Triangles , 1931 .

[435]  H. Weyl,et al.  Das asymptotische verteilungsgesetz der eigenschwingungen eines beliebig gestalteten elastischen körpers , 1915 .

[436]  H. Weyl.  Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung) , 1912 .

[437]  A. Sommerfeld.  Zur analytischen Theorie der Wärmeleitung , 1894 .