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Explicit Plancherel formula for the p-adic group GL(n)

Explicit Plancherel formula for the p-adic group GL(n)
Explicit Plancherel formula for the p-adic group GL(n)
We provide an explicit Plancherel formula for the p-adic group GL(n). We determine explicitly the Bernstein decomposition of Plancherel measure, including all numerical constants. We also prove a transfer-of-measure formula for GL(n).
1631-073X
843-848
Aubert, Anne-Marie
f1ab184a-28bd-49a7-bec5-d0abcec2fed0
Plymen, Roger
76de3dd0-ddcb-4a34-98e1-257dddb731f5
Aubert, Anne-Marie
f1ab184a-28bd-49a7-bec5-d0abcec2fed0
Plymen, Roger
76de3dd0-ddcb-4a34-98e1-257dddb731f5

Aubert, Anne-Marie and Plymen, Roger (2004) Explicit Plancherel formula for the p-adic group GL(n). Comptes Rendus Mathematique, 338 (11), 843-848. (doi:10.1016/j.crma.2004.03.026).

Record type: Article

Abstract

We provide an explicit Plancherel formula for the p-adic group GL(n). We determine explicitly the Bernstein decomposition of Plancherel measure, including all numerical constants. We also prove a transfer-of-measure formula for GL(n).

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More information

Published date: 1 June 2004
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 359951
URI: https://eprints.soton.ac.uk/id/eprint/359951
ISSN: 1631-073X
PURE UUID: 4fb96880-4b4d-437b-b473-aafd202f8317

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Date deposited: 19 Nov 2013 14:07
Last modified: 16 Jul 2019 21:16

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Contributors

Author: Anne-Marie Aubert
Author: Roger Plymen

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