The Feynman Propagator on Perturbations of Minkowski Space

[1]  A. Vasy,et al.  Asymptotics of scalar waves on long-range asymptotically Minkowski spaces , 2016, 1602.04795.

[2]  C. Gérard,et al.  Hadamard States for the Linearized Yang–Mills Equation on Curved Spacetime , 2014, 1403.7153.

[3]  N. V. Dang Renormalization of quantum field theory on curved space-times, a causal approach , 2013, 1312.5674.

[4]  P. Hintz,et al.  Non-trapping estimates near normally hyperbolic trapping , 2013, 1311.7197.

[5]  P. Hintz GLOBAL WELL-POSEDNESS OF QUASILINEAR WAVE EQUATIONS ON ASYMPTOTICALLY DE SITTER SPACES , 2013, 1311.6859.

[6]  P. Hintz,et al.  Semilinear wave equations on asymptotically de Sitter, Kerr–de Sitter and Minkowski spacetimes , 2013, 1306.4705.

[7]  S. Dyatlov,et al.  Dynamical zeta functions for Anosov flows via microlocal analysis , 2013, 1306.4203.

[8]  A. Vasy,et al.  Asymptotics of radiation fields in asymptotically Minkowski space , 2012, 1212.5141.

[9]  C. Gérard,et al.  Communications in Mathematical Physics Construction of Hadamard States by Pseudo-Differential Calculus , 2022 .

[10]  N. Haber,et al.  Propagation of singularities around a Lagrangian submanifold of radial points , 2011, 1110.1419.

[11]  A. Vasy Microlocal analysis of asymptotically hyperbolic spaces and high energy resolvent estimates , 2011, 1104.1376.

[12]  A. Vasy Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov) , 2010, Inventiones mathematicae.

[13]  A. Vasy,et al.  Gluing Semiclassical Resolvent Estimates via Propagation of Singularities , 2010, 1008.3964.

[14]  J. Sjöstrand,et al.  Upper Bound on the Density of Ruelle Resonances for Anosov Flows , 2010, 1003.0513.

[15]  L. Bieri Extensions of the Stability Theorem of the Minkowski Space in General Relativity , 2009, 0904.0620.

[16]  C. Dappiaggi,et al.  Cosmological Horizons and Reconstruction of Quantum Field Theories , 2007, 0712.1770.

[17]  D. Tataru,et al.  Global parametrices and dispersive estimates for variable coefficient wave equations , 2007, 0707.1191.

[18]  M. Zworski,et al.  Quantum decay rates in chaotic scattering , 2007, 0706.3242.

[19]  Andrew Hassell,et al.  Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I. , 2007, math/0701515.

[20]  Valter Moretti Quantum Out-States Holographically Induced by Asymptotic Flatness: Invariance under Spacetime Symmetries, Energy Positivity and Hadamard Property , 2006, gr-qc/0610143.

[21]  Hans Lindblad Global Solutions of Quasilinear Wave Equations , 2005, math/0511461.

[22]  P. Chruściel,et al.  ERRATUM: "POLYHOMOGENEOUS SOLUTIONS OF NONLINEAR WAVE EQUATIONS WITHOUT CORNER CONDITIONS" , 2005, math/0506423.

[23]  C. Dappiaggi,et al.  RIGOROUS STEPS TOWARDS HOLOGRAPHY IN ASYMPTOTICALLY FLAT SPACETIMES , 2005, gr-qc/0506069.

[24]  G. Carron,et al.  Riesz transform and $L^p$ cohomology for manifolds with Euclidean ends , 2004, math/0411648.

[25]  I. Rodnianski,et al.  The global stability of the Minkowski space-time in harmonic gauge , 2004, math/0411109.

[26]  I. Rodnianski,et al.  Global Existence for the Einstein Vacuum Equations in Wave Coordinates , 2003, math/0312479.

[27]  A. Vasy,et al.  Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type , 2003, math/0308043.

[28]  A. Vasy,et al.  Analytic continuation of the resolvent of the Laplacian on SL(3)/ SO(3) , 2002, math/0208116.

[29]  K. Fredenhagen,et al.  Microlocal Analysis and¶Interacting Quantum Field Theories:¶Renormalization on Physical Backgrounds , 1999, math-ph/9903028.

[30]  Marek J. Radzikowski Micro-local approach to the Hadamard condition in quantum field theory on curved space-time , 1996 .

[31]  Michael Taylor,et al.  Partial Differential Equations I: Basic Theory , 1996 .

[32]  Michael E. Taylor,et al.  Partial Differential Equations II: Qualitative Studies of Linear Equations , 1996 .

[33]  K. Fredenhagen,et al.  The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes , 1995, gr-qc/9510056.

[34]  Richard B. Melrose,et al.  The Atiyah-Patodi-Singer Index Theorem , 1993 .

[35]  Demetrios Christodoulou,et al.  Global solutions of nonlinear hyperbolic equations for small initial data , 1986 .

[36]  Sergiu Klainerman,et al.  Uniform decay estimates and the lorentz invariance of the classical wave equation , 1985 .

[37]  J. Duistermaat On Carleman estimates for pseudo-differential operators , 1972 .

[38]  R. Geroch,et al.  The domain of dependence , 1970 .

[39]  D.,et al.  The global nonlinear stability of the Minkowski space , 2018 .

[40]  Brian Davies,et al.  Partial Differential Equations II , 2002 .

[41]  Israel Michael Sigal,et al.  Introduction to Spectral Theory , 1996 .

[42]  Y. Egorov,et al.  Fourier Integral Operators , 1994 .

[43]  L. Hörmander,et al.  Fourier integral operators. II , 1972 .

[44]  L. Hörmander,et al.  On the existence and the regularity of solutions of linear pseudo-differential equations , 1971 .

[45]  A. Unterberger Résolution d'équations aux dérivées partielles dans des espaces de distributions d'ordre de régularité variable , 1971 .

[46]  G. M.,et al.  Partial Differential Equations I , 2023, Applied Mathematical Sciences.