Character identities and asymptotic behavior of matrix coefficients of discrete series

Henryk Hecht and Dragan Miličić

Vol. 121 (1986), No. 2, 357–369

DOI: 10.2140/pjm.1986.121.357

Abstract

Using Schmid’s character identities we give a new proof of a result of Trombi and Varadarajan which describes a necessary condition for a discrete series representation of a semisimple Lie group to have a specific asymptotic decay.

Mathematical Subject Classification 2000

Primary: 22E46

Secondary: 22E30

Milestones

Received: 16 February 1984

Published: 1 February 1986