Differential equations for principal series Whittaker functions on SU(2, 2)

被引：8

作者：

Hayata, T ^{[1
]}

机构：

[1] Kobe Univ, Grad Sch Sci & Technol, Div Intelligence Sci, Nada Ku, Kobe, Hyogo 657, Japan

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 1997年 / 8卷 / 04期

关键词：

D O I：

10.1016/S0019-3577(97)81553-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let SU(2,2) be the special unitary group of index (2,2). In this paper, two explicit linear partial differential equations are obtained: one from the Casimir operator and the other from the Schmid operator by taking their radial parts. Whittaker Functions belonging to an irreducible principal series representation of SU(2,2) satisfy the system of differential equations and furthermore this system becomes holonomic when the dimension of a minimal K-type of the representation is one or two.

引用

页码：493 / 528

页数：36

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