@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}, pages = {103--144}, publisher = {Gauthier-Villars}, volume = {62}, number = {2}, year = {1995}, mrnumber = {1317183}, zbl = {0834.43011}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1995__62_2_103_0/} }
TY - JOUR AU - Unterberger, André TI - Relativity, spherical functions and the hypergeometric equation JO - Annales de l'I.H.P. Physique théorique PY - 1995 SP - 103 EP - 144 VL - 62 IS - 2 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1995__62_2_103_0/ LA - en ID - AIHPA_1995__62_2_103_0 ER -
Unterberger, André. Relativity, spherical functions and the hypergeometric equation. Annales de l'I.H.P. Physique théorique, Volume 62 (1995) no. 2, pp. 103-144. http://www.numdam.org/item/AIHPA_1995__62_2_103_0/
[1] Analyse mathématique et calcul numérique pour les sciences et les techniques, Collection CEA, Paris, 1985. | Zbl
and ,[2] Calcul infinitésimal, Hermann, Paris, 1980. | MR | Zbl
,[3] Analyse harmonique sur les espaces hermitiens symétriques de rang un, CIMPA, Université de Nancy, 1980.
,[4] Harmonic Analysis of Spherical Functions on Real Reductive Groups, Springer-Verlag, Berlin, 1988. | MR | Zbl
and ,[5] Fourier Bessel Transforms and Holomorphic Discrete Series, Lecture Notes in Math., No. 266, 1972, pp. 79-122. | MR | Zbl
and ,[6] Bessel Functions and Representation Theory I, II, J. Funct. Anal., Vol. 22, 1976, pp. 73-105; ibid.,, Vol. 25, 1977, pp. 1-49. | MR | Zbl
and ,[7] Groups and Geometric Analysis, Acad. Press, New York, 1984. | MR | Zbl
,[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 | Zbl
,[10] Formulas and Theorems for the Special Functions of Mathematical Physics, 3rd edition, Springer-Verlag, Berlin, 1966. | MR | Zbl
, and ,[11] Mémoire sur le mouvement vibratoire d'une membrane de forme elliptique, Journal de Liouville, Vol. 13, 1968, p. 137. | EuDML | JFM | Numdam
,[12] Symmetry and separation of variables, Addision-Wesley, 1977. | MR | Zbl
,[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. | EuDML | MR | Zbl
,[15] Methods of Modern Mathematical Physics, Vol. 2, Acad. Press, 1975.
and ,[16] Théorie des distributions,, Vol. 2, Hermann, Paris, 1959. | MR
,[17] L'oscillateur relativiste et les fonctions de Mathieu, Bull. Soc. Math. France, Tome 121, No. 4, 1993, pp. 479-508. | EuDML | Numdam | MR | Zbl
,[18] Quantification relativiste, Mémoires de la Soc. Math. France, No. 44-45, Paris, 1991. | EuDML | Numdam | MR | Zbl
,[19] Les opérateurs métadifférentiels, Lectures Notes in Physics, No. 126, 1980, pp. 205-241. | MR | Zbl
,[20] 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. | EuDML | Numdam | MR | Zbl
and ,[21] Special Functions, World Scientific (Singapore), 1989. | MR | Zbl
and ,[22] A course of modern Analysis, 4th edition, Cambridge Univ. Press, 1965. | MR
and ,