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Abstract
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We prove a version of a trace Paley–Wiener theorem for tempered representations of a
reductive
-adic
group. This is applied to complete certain investigations of Shahidi
on the proof that a Plancherel measure is an invariant of an
-packet of
discrete series.
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Keywords
Paley–Wiener theorem, admissible representations, reductive
$p$-adic groups
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Mathematical Subject Classification
Primary: 22E50
Secondary: 11E70
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Milestones
Received: 5 January 2019
Revised: 10 January 2020
Accepted: 23 May 2020
Published: 9 December 2020
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