Bessel functions and local converse conjecture of Jacquet

2014/07/20 by Jingsong Chai, Chai, Jingsong · 2 citations
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT

paper · pdf · doi:10.48550/arxiv.1407.5251

This paper has been withdrawn by the author. By the author due to an error

arxiv created 2014/07/30 · arxiv updated 2014/07/31

Abstract

In this paper, we prove a kernel formula of Bessel functions attached to irreducible smooth supercuspidal representations of p-adic GL(n). We also show that the Bessel function defined by Bessel distribution coincides with the Bessel function defined via uniqueness of Whittaker models on the open Bruhat cell. As an application we give a proof of the local converse conjecture of Jacquet.

Cited by

• On sharpness in Local Converse Theorems for classical groups and G₂
• On the Local Converse Theorem for Depth (1)/(N) Supercuspidal Representations of GL(2N, F)

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