Formule de Plancherel explicite pour le groupe p-adique

Anne Marie Aubert; Roger Plymen

doi:10.1016/j.crma.2004.03.026

Formule de Plancherel explicite pour le groupe p-adique

Translated title of the contribution: Explicit Plancherel formula for the p-adic group GL(n)

Anne Marie Aubert, Roger Plymen

Research output: Contribution to journal › Article › peer-review

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). © 2004 Académie des sciences. Published by Elsevier SAS. All rights reserved.

Translated title of the contribution	Explicit Plancherel formula for the p-adic group GL(n)
Original language	French
Pages (from-to)	843-848
Number of pages	5
Journal	Académie des Sciences. Comptes Rendus. Mathématique
Volume	338
Issue number	11
DOIs	https://doi.org/10.1016/j.crma.2004.03.026
Publication status	Published - 1 Jun 2004

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10.1016/j.crma.2004.03.026

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title = "Formule de Plancherel explicite pour le groupe p-adique",

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). {\textcopyright} 2004 Acad{\'e}mie des sciences. Published by Elsevier SAS. All rights reserved.",

author = "Aubert, {Anne Marie} and Roger Plymen",

year = "2004",

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doi = "10.1016/j.crma.2004.03.026",

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AU - Plymen, Roger

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N2 - 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). © 2004 Académie des sciences. Published by Elsevier SAS. All rights reserved.

AB - 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). © 2004 Académie des sciences. Published by Elsevier SAS. All rights reserved.

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DO - 10.1016/j.crma.2004.03.026

M3 - Article

SN - 1778-3569

VL - 338

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JO - Académie des Sciences. Comptes Rendus. Mathématique

JF - Académie des Sciences. Comptes Rendus. Mathématique

IS - 11

ER -

Formule de Plancherel explicite pour le groupe p-adique

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