Spherical functions of the principal series representations of Sp(2, R) as hypergeometric functions of C-2-type

被引:10
作者
Iida, M [1 ]
机构
[1] UNIV TOKYO,GRAD SCH MATH SCI,MEGURO KU,TOKYO,JAPAN
关键词
D O I
10.2977/prims/1195162717
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:689 / 727
页数:39
相关论文
共 24 条
[1]  
[Anonymous], 2001, PRINCETON LANDMARKS
[2]  
Appell P., 1926, Fonctions Hypergeometriques et Hyperspheriques: Polynomes d'Hermite
[3]   INTEGRAL FORMULAS FOR THE SPHERICAL POLYNOMIALS OF A ROOT-SYSTEM OF TYPE BC(2) [J].
DEBIARD, A ;
GAVEAU, B .
JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 119 (02) :401-454
[4]   INTEGRAL-REPRESENTATION OF CERTAIN SERIES OF SPHERICAL-FUNCTIONS OF A ROOT-SYSTEM BC [J].
DEBIARD, A ;
GAVEAU, B .
JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 96 (02) :256-296
[5]  
Erdelyi A., 1981, Higher transcendental functions
[6]  
HECKMAN GJ, 1987, COMPOS MATH, V64, P353
[7]  
HECKMAN GJ, 1987, COMPOS MATH, V64, P329
[8]  
HECKMAN GJ, 1994, HYPERGEOMETRIC SPHER
[9]  
KIMURA T, 1971, LECT NOTES U MINNESO
[10]  
KOORNWINDER TH, 1974, INDAG MATH, V36, P357