Relativity, spherical functions and the hypergeometric equation
Annales de l'I.H.P. Physique théorique (1995)
- Volume: 62, Issue: 2, page 103-144
- ISSN: 0246-0211
Access Full Article
topHow to cite
topUnterberger, André. "Relativity, spherical functions and the hypergeometric equation." Annales de l'I.H.P. Physique théorique 62.2 (1995): 103-144. <http://eudml.org/doc/76671>.
@article{Unterberger1995,
author = {Unterberger, André},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {2},
pages = {103-144},
publisher = {Gauthier-Villars},
title = {Relativity, spherical functions and the hypergeometric equation},
url = {http://eudml.org/doc/76671},
volume = {62},
year = {1995},
}
TY - JOUR
AU - Unterberger, André
TI - Relativity, spherical functions and the hypergeometric equation
JO - Annales de l'I.H.P. Physique théorique
PY - 1995
PB - Gauthier-Villars
VL - 62
IS - 2
SP - 103
EP - 144
LA - eng
UR - http://eudml.org/doc/76671
ER -
References
top- [1] R. Dautray and J.L. Lions, Analyse mathématique et calcul numérique pour les sciences et les techniques, Collection CEA, Paris, 1985. Zbl0642.35001
- [2] J. Dieudonné, Calcul infinitésimal, Hermann, Paris, 1980. Zbl0497.26004MR226971
- [3] J. Faraut, Analyse harmonique sur les espaces hermitiens symétriques de rang un, CIMPA, Université de Nancy, 1980.
- [4] R. Gangolli and V.S. Varadarajan, Harmonic Analysis of Spherical Functions on Real Reductive Groups, Springer-Verlag, Berlin, 1988. Zbl0675.43004MR954385
- [5] K.I. Gross and R.A. Kunze, Fourier Bessel Transforms and Holomorphic Discrete Series, Lecture Notes in Math., No. 266, 1972, pp. 79-122. Zbl0242.22015MR486318
- [6] K.I. Gross and R.A. Kunze, Bessel Functions and Representation Theory I, II, J. Funct. Anal., Vol. 22, 1976, pp. 73-105; ibid.,, Vol. 25, 1977, pp. 1-49. Zbl0322.43014MR415214
- [7] S. Helgason, Groups and Geometric Analysis, Acad. Press, New York, 1984. Zbl0543.58001MR754767
- [8] L. Jager, Fonctions de Mathieu et calcul de Klein-Gordon, Thèse, Université de Reims, 1994.
- [9] A.W. Knapp, Representation Theory of Semi-Simple Groups, Princeton University Press, 1986. Zbl0604.22001MR855239
- [10] W. Magnus, F. Oberhettinger and R.P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics, 3rd edition, Springer-Verlag, Berlin, 1966. Zbl0143.08502MR232968
- [11] E. Mathieu, Mémoire sur le mouvement vibratoire d'une membrane de forme elliptique, Journal de Liouville, Vol. 13, 1968, p. 137. JFM01.0354.02
- [12] W. Miller, Symmetry and separation of variables, Addision-Wesley, 1977. Zbl0368.35002MR460751
- [13] J. Nourrigat, Méthodes asymptotiques, Cours de maîtrise, Université de Reims, 1990 (to appear).
- [14] L. Pukanszky, The Plancherel Formula for the Universal Covering Group of SL(R, 2), Math. Annalen, Vol. 156, 1964, pp. 96-143. Zbl0171.33903MR170981
- [15] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 2, Acad. Press, 1975. Zbl0308.47002
- [16] L. Schwartz, Théorie des distributions,, Vol. 2, Hermann, Paris, 1959. MR209834
- [17] A. Unterberger, L'oscillateur relativiste et les fonctions de Mathieu, Bull. Soc. Math. France, Tome 121, No. 4, 1993, pp. 479-508. Zbl0797.58034MR1254750
- [18] A. Unterberger, Quantification relativiste, Mémoires de la Soc. Math. France, No. 44-45, Paris, 1991. Zbl0745.35057MR1101973
- [19] A. Unterberger, Les opérateurs métadifférentiels, Lectures Notes in Physics, No. 126, 1980, pp. 205-241. Zbl0452.35121MR579751
- [20] A. Unterberger and J. Unterberger, 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. Zbl0549.35119MR744069
- [21] Z.X. Wang and D.R. Guo, Special Functions, World Scientific (Singapore), 1989. Zbl0724.33001MR1034956
- [22] E.T. Whittaker and G.N. Watson, A course of modern Analysis, 4th edition, Cambridge Univ. Press, 1965. Zbl45.0433.02MR1424469
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.