Local integrability of Bessel functions on split groups
classification
🧮 math.RT
keywords
besselfunctionsgroupssplitalgebraicbaruchconnecteddistributions
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In this paper, we prove that the Bessel functions are locally integrable for all connected split reductive linear algebraic groups over a p-adic field $F$ and the Bessel distributions are given by integrals against these Bessel functions, which are previously known only for $GL(2),GL(3)$ proved by Baruch.
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