Vol. 308, No. 2, 2020

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A remark on a trace Paley–Wiener theorem

Goran Muić

Vol. 308 (2020), No. 2, 407–418
Abstract

We prove a version of a trace Paley–Wiener theorem for tempered representations of a reductive $p$-adic group. This is applied to complete certain investigations of Shahidi on the proof that a Plancherel measure is an invariant of an $L$-packet of discrete series.

Keywords
Paley–Wiener theorem, admissible representations, reductive $p$-adic groups
Primary: 22E50
Secondary: 11E70
Milestones
Received: 5 January 2019
Revised: 10 January 2020
Accepted: 23 May 2020
Published: 9 December 2020
Authors
 Goran Muić Department of Mathematics Faculty of Sciences University of Zagreb Zagreb Croatia