MATRIX COEFFICIENTS OF THE LARGE DISCRETE SERIES REPRESENTATIONS OF Sp(2; R) AS HYPERGEOMETRIC SERIES OF TWO VARIABLES

被引：1

作者：

Oda, Takayuki ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Komaba Meguro Ku, Tokyo 1538914, Japan

来源：

NAGOYA MATHEMATICAL JOURNAL | 2012年 / 208卷

关键词：

ROOT SYSTEMS; INTEGRAL-REPRESENTATION; SPHERICAL-FUNCTIONS;

D O I：

10.1017/S0027763000010631

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the radial part of the matrix coefficients with minimal K-types of the large discrete series representations of Sp(2; R). They satisfy certain difference-differential equations derived from Schmid operators. This system is reduced to a holonomic system of rank 4, which is finally found to be equivalent to higher-order hypergeometric series in the sense of Appell and Kampe de Feriet.

引用

页码：201 / 263

页数：63

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