@article{AIHPA_1995__62_2_103_0,
author = {Unterberger, Andr\'e},
title = {Relativity, spherical functions and the hypergeometric equation},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {63},
year = {1995},
pages = {103-144},
mrnumber = {1317183},
zbl = {0834.43011},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1995__62_2_103_0}
}
Unterberger, André. Relativity, spherical functions and the hypergeometric equation. Annales de l'I.H.P. Physique théorique, Tome 63 (1995) pp. 103-144. http://gdmltest.u-ga.fr/item/AIHPA_1995__62_2_103_0/
[1] and , Analyse mathématique et calcul numérique pour les sciences et les techniques, Collection CEA, Paris, 1985. | Zbl 0642.35001
[2] , Calcul infinitésimal, Hermann, Paris, 1980. | MR 226971 | Zbl 0497.26004
[3] , Analyse harmonique sur les espaces hermitiens symétriques de rang un, CIMPA, Université de Nancy, 1980.
[4] and , Harmonic Analysis of Spherical Functions on Real Reductive Groups, Springer-Verlag, Berlin, 1988. | MR 954385 | Zbl 0675.43004
[5] and , Fourier Bessel Transforms and Holomorphic Discrete Series, Lecture Notes in Math., No. 266, 1972, pp. 79-122. | MR 486318 | Zbl 0242.22015
[6] and , Bessel Functions and Representation Theory I, II, J. Funct. Anal., Vol. 22, 1976, pp. 73-105; ibid.,, Vol. 25, 1977, pp. 1-49. | MR 415214 | Zbl 0322.43014
[7] , Groups and Geometric Analysis, Acad. Press, New York, 1984. | MR 754767 | Zbl 0543.58001
[8] , Fonctions de Mathieu et calcul de Klein-Gordon, Thèse, Université de Reims, 1994.
[9] , Representation Theory of Semi-Simple Groups, Princeton University Press, 1986. | MR 855239 | Zbl 0604.22001
[10] , and , Formulas and Theorems for the Special Functions of Mathematical Physics, 3rd edition, Springer-Verlag, Berlin, 1966. | MR 232968 | Zbl 0143.08502
[11] , Mémoire sur le mouvement vibratoire d'une membrane de forme elliptique, Journal de Liouville, Vol. 13, 1968, p. 137. | JFM 01.0354.02
[12] , Symmetry and separation of variables, Addision-Wesley, 1977. | MR 460751 | Zbl 0368.35002
[13] , Méthodes asymptotiques, Cours de maîtrise, Université de Reims, 1990 (to appear).
[14] , The Plancherel Formula for the Universal Covering Group of SL(R, 2), Math. Annalen, Vol. 156, 1964, pp. 96-143. | MR 170981 | Zbl 0171.33903
[15] and , Methods of Modern Mathematical Physics, Vol. 2, Acad. Press, 1975.
[16] , Théorie des distributions,, Vol. 2, Hermann, Paris, 1959. | MR 209834
[17] , L'oscillateur relativiste et les fonctions de Mathieu, Bull. Soc. Math. France, Tome 121, No. 4, 1993, pp. 479-508. | Numdam | MR 1254750 | Zbl 0797.58034
[18] , Quantification relativiste, Mémoires de la Soc. Math. France, No. 44-45, Paris, 1991. | Numdam | MR 1101973 | Zbl 0745.35057
[19] , Les opérateurs métadifférentiels, Lectures Notes in Physics, No. 126, 1980, pp. 205-241. | MR 579751 | Zbl 0452.35121
[20] and , La série discrète de SL (2, R) et les opérateurs pseudo-différentiels sur une demi-droite, Ann.Sci. Ec. Norm. Sup., Tome 17, 1984, pp. 83-116. | Numdam | MR 744069 | Zbl 0549.35119
[21] and , Special Functions, World Scientific (Singapore), 1989. | MR 1034956 | Zbl 0724.33001
[22] and , A course of modern Analysis, 4th edition, Cambridge Univ. Press, 1965. | MR 1424469