Local integrability of Bessel functions on split groups

2016/10/12 by Jingsong Chai, Chai, Jingsong
Mathematics · #Advanced Algebra and Geometry #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical Analysis and Transform Methods #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1610.03616

openalex publication_date 2016/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• A weak kernel formula for Bessel functions

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