Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The holomorphic discrete series of an affine symmetric space and representations with reproducing kernels
HTML articles powered by AMS MathViewer

by G. Ólafsson and B. Ørsted PDF
Trans. Amer. Math. Soc. 326 (1991), 385-405 Request permission

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
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
  • © Copyright 1991 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 326 (1991), 385-405
  • MSC: Primary 22E46; Secondary 22E30, 43A85
  • DOI: https://doi.org/10.1090/S0002-9947-1991-1002923-0
  • MathSciNet review: 1002923