Weighted Laplace transforms and Bessel functions on Hermitian symmetric spaces

被引：1

作者：

Ding, HM ^{[1
]}

机构：

[1] St Louis Univ, Dept Math & Comp Sci, St Louis, MO 63103 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 351卷 / 10期

关键词：

pi-weighted Laplace transform; Jordan pair; Siegel domain of type II; Bessel function; holomorphic discrete series;

D O I：

10.1090/S0002-9947-99-02461-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper defines pi-weighted Laplace transforms on the spaces of pi-covariant functions. By the inverse Laplace transform we define operator-valued Bessel functions. We also study the holomorphic discrete series of the automorphism group of a Siegel domain of type II.

引用

页码：4205 / 4243

页数：39

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