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A weak kernel formula for Bessel functions

Published 8 Dec 2015 in math.RT | (1512.02365v1)

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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