Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


The holomorphic discrete series of an affine symmetric space and representations with reproducing kernels

Authors: G. Ólafsson and B. Ørsted
Journal: Trans. Amer. Math. Soc. 326 (1991), 385-405
MSC: Primary 22E46; Secondary 22E30, 43A85
MathSciNet review: 1002923
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Consider a semisimple connected Lie group $ G$ with an affine symmetric space $ X$. We study abstractly the intertwining operators from the discrete series of $ X$ into representations with reproducing kernel and, in particular, into the discrete series of $ G$; each such is given by a convolution with an analytic function. For $ X$ of Hermitian type, we consider the holomorphic discrete series of $ X$ and here derive very explicit formulas for the intertwining operators. As a corollary we get a multiplicity one result for the series in question.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 22E46, 22E30, 43A85

Retrieve articles in all journals with MSC: 22E46, 22E30, 43A85

Additional Information

PII: S 0002-9947(1991)1002923-0
Article copyright: © Copyright 1991 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia