SPECIAL-FUNCTIONS OF MATRIX ARGUMENT .1. ALGEBRAIC INDUCTION, ZONAL-POLYNOMIALS, AND HYPERGEOMETRIC-FUNCTIONS

被引:83
作者
GROSS, KI [1 ]
RICHARDS, DSP [1 ]
机构
[1] UNIV N CAROLINA, DEPT STAT, CHAPEL HILL, NC 27514 USA
关键词
D O I
10.2307/2000670
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:781 / 811
页数:31
相关论文
共 34 条
[1]  
Bochner S, 1952, COMM SEM MATH U LUND, P12
[2]   SOME NON-CENTRAL DISTRIBUTION PROBLEMS IN MULTIVARIATE-ANALYSIS [J].
CONSTANTINE, AG .
ANNALS OF MATHEMATICAL STATISTICS, 1963, 34 (04) :1270-&
[3]   POLAR REPRESENTATIONS [J].
DADOK, J ;
KAC, V .
JOURNAL OF ALGEBRA, 1985, 92 (02) :504-524
[4]   APPROACH TO DISTRIBUTION FUNCTIONS FOR GAUSSIAN MOLECULES [J].
EICHINGER, BE .
MACROMOLECULES, 1977, 10 (03) :671-675
[5]  
Gindikin SG., 1964, RUSS MATH SURV, V29, P1, DOI [10.1070/RM1964v019n04ABEH001153, DOI 10.1070/RM1964V019N04ABEH001153]
[6]   FINITE DIMENSIONAL INDUCTION AND NEW RESULTS ON INVARIANTS FOR CLASSICAL-GROUPS .1. [J].
GROSS, KI ;
KUNZE, RA .
AMERICAN JOURNAL OF MATHEMATICS, 1984, 106 (04) :893-974
[7]   BESSEL FUNCTIONS AND REPRESENTATION THEORY .2. HOLOMORPHIC DISCRETE SERIES AND METAPLECTIC REPRESENTATIONS [J].
GROSS, KI ;
KUNZE, RA .
JOURNAL OF FUNCTIONAL ANALYSIS, 1977, 25 (01) :1-49
[8]   BESSEL FUNCTIONS AND REPRESENTATION THEORY .1. [J].
GROSS, KI ;
KUNZE, RA .
JOURNAL OF FUNCTIONAL ANALYSIS, 1976, 22 (02) :73-105
[9]  
GROSS KI, 1986, J REINE ANGEW MATH, V369, P14
[10]  
H?rmander, 1973, INTRO COMPLEX ANAL S