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arxiv: 1512.02365 · v1 · pith:WGFOJZMCnew · submitted 2015-12-08 · 🧮 math.RT

A weak kernel formula for Bessel functions

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keywords besseldefinedformulafunctionfunctionskernelweakapplication
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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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