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

Anne-Marie Aubert,Roger Plymen

doi:10.1016/j.crma.2004.03.026

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

Anne-Marie Aubert, Roger Plymen

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https://doi.org/10.1016/j.crma.2004.03.026

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Journal: Comptes Rendus de l'Academie des Sciences Series I Mathematics	Publication Date: Apr 17, 2004
Citations: 10	License type: mit

Affiliation: Institut de Mathématiques de Jussieu, University of Manchester

#Explicit Formula #Bernstein Decomposition + Show 6 more

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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). To cite this article: A.-M. Aubert, R. Plymen, C. R. Acad. Sci. Paris, Ser. I 338 (2004).

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