A weak kernel formula for Bessel functions

Chai, Jingsong

doi:10.1090/tran/6884

A weak kernel formula for Bessel functions
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by Jingsong Chai PDF

Trans. Amer. Math. Soc. 369 (2017), 7139-7167 Request permission

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.

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