Germ expansions of Kloosterman integrals are given for p-adic split reductive groups, yielding a conditional proof that Bessel distributions are regular for generic representations assuming bounds on Kloosterman sums for Levi subgroups.
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Bessel Distributions and Kloosterman Sums
Germ expansions of Kloosterman integrals are given for p-adic split reductive groups, yielding a conditional proof that Bessel distributions are regular for generic representations assuming bounds on Kloosterman sums for Levi subgroups.