Weighted Laplace transforms and Bessel functions on Hermitian symmetric spaces

Authors
Ding, HM
Citation
Hm. Ding, Weighted Laplace transforms and Bessel functions on Hermitian symmetric spaces, T AM MATH S, 351(10), 1999, pp. 4205-4243
Citations number
40
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
351
Issue
10
Year of publication
1999
Pages
4205 - 4243
Database
ISI
SICI code
0002-9947(199910)351:10<4205:WLTABF>2.0.ZU;2-Z
Abstract
This paper defines pi-weighted Laplace transforms on the spaces of pi-covar iant functions. By the inverse Laplace transform we define operator-valued Bessel functions. We also study the holomorphic discrete series of the auto morphism group of a Siegel domain of type II.