Formule de Plancherel pour les fonctions de Whittaker sur un groupe\n r 'eductif p-adique

2010/05/12 by Patrick Delorme, Delorme, Patrick · 3 citations
Mathematics · #22E50 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Representation Theory (math.RT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1005.2048

openalex publication_date 2010/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the Plancherel formula for Whittaker functions on a reductive p-adic\ngroup. This a sequel to our work on Paley-Wiener theorem. Our proof is close to\nthe proof written by Waldspurger of the Harish-Chandra Plancherel formula for\nsmooth functions on the group and use many of his results. One simplification\nis the easy proof of the Fourier transfom, which follows from a result of\nJoseph Bernstein.\n

Citations

• On Certain L-Functions

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