Representation of Lie groups and special functions
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[1] H. Weyl. The Theory Of Groups And Quantum Mechanics , 1931 .
[2] E. Wigner. Gruppentheorie und ihre Anwendung auf die Quantenmechanik der Atomspektren , 1931 .
[3] W. N. Bailey,et al. Generalized hypergeometric series , 1935 .
[4] V. Bargmann,et al. Irreducible unitary representations of the Lorentz group , 1947 .
[5] Israel M. Gelfand,et al. Finite-dimensional representations of the group of unimodular matrices , 1950 .
[6] Roger Godement. Theory of spherical functions , 1952 .
[7] A. James. Normal Multivariate Analysis and the Orthogonal Group , 1954 .
[8] A. Erdélyi,et al. Higher Transcendental Functions , 1954 .
[9] 橋本 英典,et al. A. Erdelyi, W. Magnus, F. Oberhettinger and F. G. Tricomi ; Higher Transcendental Functions, Vols. I, II, III. McGraw-Hill, New York-Toronto-London, 1953, 1953, 1955. xxvi+302, xvii+396, xvii+292頁. 16×23.5cm. $6.50, $7.50, $6.50. , 1955 .
[10] C. Herz. BESSEL FUNCTIONS OF MATRIX ARGUMENT , 1955 .
[11] Zur Theorie der Kugelfunktionen einer Matrixvariablen , 1958 .
[12] A. Kirillov,et al. UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS , 1962 .
[13] I. Gel'fand,et al. REPRESENTATIONS OF A GROUP OF MATRICES OF THE SECOND ORDER WITH ELEMENTS FROM A LOCALLY COMPACT FIELD, AND SPECIAL FUNCTIONS ON LOCALLY COMPACT FIELDS , 1963 .
[14] On Lie algebras and some special functions of mathematical physics , 1964 .
[15] M. Andrews,et al. Complex Angular Momenta and Many‐Particle States. I. Properties of Local Representations of the Rotation Group , 1964 .
[16] R. A. Silverman,et al. Special functions and their applications , 1966 .
[17] W. Rheinboldt,et al. Generalized hypergeometric functions , 1968 .
[18] B. Kaufman. Special Functions of Mathematical Physics from the Viewpoint of Lie Algebra , 1966 .
[19] Calvin C. Moore,et al. Unitary representations of solvable Lie groups , 1966 .
[20] INTEGRAL TRANSFORMS OF FUNCTIONS ON HYPERBOLOIDS. I , 1967 .
[21] Integral transforms with generalized Legendre functions as kernels , 1967 .
[22] N. Vilenkin. Special Functions and the Theory of Group Representations , 1968 .
[23] W. Miller. Special Functions and the Complex Euclidean Group in 3‐Space. I , 1968 .
[24] Willard Miller,et al. Lie Theory and Special Functions , 1969 .
[25] G Lindblad. Eigenfunction Expansions Associated with Unitary Irreducible Representations of SU(1,1) , 1970 .
[26] Harish-Chandra. Harmonic analysis on semisimple Lie groups , 1970 .
[27] I. G. MacDonald,et al. Affine root systems and Dedekind'sη-function , 1971 .
[28] Elna Browning McBride. Obtaining Generating Functions , 1971 .
[29] T. Koornwinder. The addition formula for Jacobi polynomials I summary of results , 1971 .
[30] G. Gasper. Positivity and the Convolution Structure for Jacobi Series , 1971 .
[31] S. Gelbart. Harmonics on Stiefel manifolds and generalized Hankel transforms , 1972 .
[32] W. Miller. Clebsch‐Gordan Coefficients and Special Function Identities. II. The Rotation and Lorentz Groups in 3‐Space , 1972 .
[33] M. Flensted-jensen. Paley-Wiener type theorems for a differential operator connected with symmetric spaces , 1972 .
[34] Clebsch-Gordan Coefficients and Special Function Identities. I. The Harmonic Oscillator Group , 1972 .
[35] J. Miller. Lie Theory and Generalized Hypergeometric Functions , 1972 .
[36] Tom H. Koornwinder,et al. The addition formula for Jacobi polynomials and spherical harmonics : prepublication , 1973 .
[37] L. Shelepin,et al. CLEBSCH-GORDAN COEFFICIENTS, VIEWED FROM DIFFERENT SIDES , 1972 .
[38] R. Kunze,et al. Fourier Bessel transforms and holomorphic discrete series , 1972 .
[39] W. Miller. Lie Theory and the Lauricella Functions FD , 1972 .
[40] E. Kalnins. Mixed basis matrix elements for the subgroup reductions of SO(2,1) , 1973 .
[41] D. P. Zhelobenko. Compact Lie Groups and Their Representations , 1973 .
[42] J. Miller. Lie Theory and Generalizations of the Hypergeometric Functions , 1973 .
[43] P. Winternitz,et al. A new basis for the representations of the rotation group. Lamé and Heun polynomials , 1973 .
[44] Integrability of discrete representations of Lie algebra u(p,q) , 1973 .
[45] V. Kats. Infinite-dimensioned Lie algebras and Dedekind'sη-function , 1974 .
[46] S. Gelbart. A theory of Stiefel harmonics , 1974 .
[47] A. G. Constantine,et al. Generalized Jacobi Polynomials as Spherical Functions of the Grassmann Manifold , 1974 .
[48] S. Helgason. Eigenspaces of the Laplacian; integral representations and irreducibility , 1974 .
[49] T. Koornwinder. A new proof of a Paley—Wiener type theorem for the Jacobi transform , 1975 .
[50] Macdonald identities and Euclidean Lie algebras , 1975 .
[51] R. Askey. Orthogonal Polynomials and Special Functions , 1975 .
[52] Ray A. Kunze,et al. Bessel functions and representation theory. I , 1976 .
[53] On Hypergeometric Series Well-Poised in $SU(n)$ , 1976 .
[54] Tuong Ton-That,et al. Lie group representations and harmonic polynomials of a matrix variable , 1976 .
[55] Elementary spherical functions on symmetric spaces. , 1976 .
[56] R. Kunze,et al. Bessel functions and representation theory, II holomorphic discrete series and metaplectic representations , 1977 .
[57] Willard Miller,et al. Symmetry and Separation of Variables , 1977 .
[58] A generalization of the Gauss hypergeometric series , 1977 .
[59] On the representations of the groups SO(3), O(2, 1), and M(2) defined in terms of Lamé, Mathieu, and parabolic functions , 1977 .
[60] Richard Askey,et al. Convolution structures for Laguerre polynomials , 1977 .
[61] The generalized gamma function, new Hardy spaces, and representations of holomorphic type for the conformal group , 1977 .
[62] Charles F. Dunkl,et al. An addition theorem for someq-Hahn polynomials , 1978 .
[63] Special Functions, Probability Semigroups, and Hamiltonian Flows , 1978 .
[64] Addition Formulas for Jacobi, Gegenbauer, Laguerre, and Hyperbolic Bessel Functions of the Second Kind , 1979 .
[65] A. Klimyk,et al. Representation matrix elements and Clebsch–Gordan coefficients of the semisimple Lie groups , 1979 .
[66] Orthogonal polynomial bases for holomorphically induced representations of the general linear groups , 1979 .
[67] Richard Askey,et al. A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or 6 - j Symbols. , 1979 .
[68] James A. Wilson. Some Hypergeometric Orthogonal Polynomials , 1980 .
[69] S. Milne. Hypergeometric series well-poised in SU(n) and a generalization of Biedenharn's G-functions , 1980 .
[70] D. Stanton. Some q-Krawtchouk Polynomials on Chevalley Groups , 1980 .
[71] Matrix-valued special functions and representation theory of the conformal group. I. The generalized gamma function , 1980 .
[72] P. Greiner. Spherical Harmonics on the Heisenberg Group , 1980, Canadian Mathematical Bulletin.
[73] D. Stanton. Three addition theorems for someq-Krawtchouk polynomials , 1981 .
[74] James D. Louck,et al. The Racah-Wigner algebra in quantum theory , 1981 .
[75] T. Koornwinder,et al. Krawtchouk polynomials, a unification of two different group theoretic interpretations : (preprint) , 1982 .
[76] C. Dunkl. Cube group invariant spherical harmonics and Krawtchouk polynomials , 1981 .
[77] L. Biedenharn. Angular momentum in quantum physics , 1981 .
[78] Adam Korányi,et al. Kelvin transforms and harmonic polynomials on the Heisenberg group , 1982 .
[79] Representations of the heisenberg-weyl algebra and group , 1982 .
[80] D. Basu,et al. The unitary irreducible representations of SL(2, R) in all subgroup reductions , 1982 .
[81] James Lepowsky,et al. A lie theoretic interpretation and proof of the Rogers-Ramanujan identities , 1982 .
[82] B. Hoogenboom,et al. Intertwining functions on compact Lie groups , 1983 .
[83] D. Basu,et al. The Clebsch–Gordan coefficients of the three‐dimensional Lorentz algebra in the parabolic basis , 1983 .
[84] Stephen C. Milne,et al. Schur functions, Good's identity, and hypergeometric series well poised in SU(n) , 1983 .
[85] W. Schempp. Radar ambiguity functions, the Heisenberg group, and holomorphic theta series , 1984 .
[86] Lars Vretare,et al. Formulas for Elementary Spherical Functions and Generalized Jacobi Polynomials , 1984 .
[87] D. Stanton. Orthogonal Polynomials and Chevalley Groups , 1984 .
[88] A new symmetry related to SU(n) for classical basic hypergeometric series , 1985 .
[89] S. Milne. An elementary proof of the Macdonald identities for , 1985 .
[90] G. Andrews,et al. Classical orthogonal polynomials , 1985 .
[91] Polynomial representations of the orthogonal groups , 1986 .
[92] I. Gel'fand,et al. Algebraic and combinatorial aspects of the general theory of hypergeometric functions , 1986 .
[93] W. Schempp,et al. Harmonic analysis on the Heisenberg nilpotent Lie group, with applications to signal theory , 1986 .
[94] Le comportement à l'infini des fonctions de Bessel généralisées, I , 1986 .
[95] S. Milne,et al. A U(n) generalization of Ramanujan's 1Ψ1 summation , 1986 .
[96] I M Gel'fand,et al. Combinatorial geometries and torus strata on homogeneous compact manifolds , 1987 .
[97] S. Janson,et al. A New Generalization of Hankel Operators (the Case of Higher Weights) , 1987 .
[98] V. Man'ko,et al. Group Theoretical Methods in Physics , 1987 .
[99] A whipple's transformation for hypergeometric series in U(n) and multivariable hypergeometric orthogonal polynomials , 1987 .
[100] I. Gel'fand,et al. General hypergeometric functions on complex Grassmannians , 1987 .
[101] V. B. Uvarov,et al. Special Functions of Mathematical Physics: A Unified Introduction with Applications , 1988 .
[102] D. Varshalovich,et al. Quantum Theory of Angular Momentum , 1988 .
[103] V. Kac. Infinite dimensional Lie algebras: Frontmatter , 1990 .
[104] V. B. Uvarov,et al. Classical Orthogonal Polynomials of a Discrete Variable , 1991 .