A weak kernel formula for Bessel functions

Abstract

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

Cited by in corpus (2)

• Bessel functions and local converse conjecture of Jacquet
• Local integrability of Bessel functions on split groups