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

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.

36 pages

References in corpus (1)

• Lectures on Dunkl operators

Cited by in corpus (1)

• Hypergeometric functions of type $BC$ and standard multiplicities