A weak kernel formula for Bessel functions

Author:

Chai Jingsong

Abstract

In this paper, we prove a weak kernel formula of Bessel functions attached to irreducible generic representations of p p -adic G L ( n ) GL(n) . As an application, we 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference29 articles.

1. On the Jacquet conjecture on the local converse problem for 𝑝-adic 𝐺𝐿_{𝑁};Adrian, Moshe;Represent. Theory,2016

2. On Bessel distributions for 𝐺𝐿₂ over a 𝑝-adic field;Baruch, Ehud Moshe;J. Number Theory,1997

3. On Bessel distributions for quasi-split groups;Baruch, Ehud Moshe;Trans. Amer. Math. Soc.,2001

4. Bessel functions for GL(3) over a 𝑝-adic field;Baruch, Ehud Moshe;Pacific J. Math.,2003

5. Bessel distributions for 𝐺𝐿(3) over the 𝑝-adics;Baruch, Ehud Moshe;Pacific J. Math.,2004

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1. Bessel functions and Kloosterman integrals on GL(n);Journal of Functional Analysis;2024-02

2. On Bessel Functions overp-Adic Fields;International Mathematics Research Notices;2017-06-30

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