Inversion formula for the hypergeometric Fourier transform associated with a root system of type BC

2020/07/16 by Tatsuo Honda, Honda, Tatsuo, Hiroshi Oda +3
Mathematics · Physics and Astronomy · #33C67 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2007.08281

openalex publication_date 2020/07/16 · openalex created_date 2020/07/23 · openalex updated_date 2026/07/28

Abstract

We give the inversion formula and the Plancherel formula for the hypergeometric Fourier transform associated with a root system of type BC, when the multiplicity parameters are not necessarily nonnegative.

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