An application of hypergeometric shift operators to the 𝜒-spherical Fourier transform

DOI10.1090/CONM/650/13043zbMath1344.43005arXiv1512.00106OpenAlexW3186374459MaRDI QIDQ2990215

Vivian M. Ho, Gestur Olafsson

Publication date: 29 July 2016

Published in: Trends in Harmonic Analysis and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00106

zbMATH Keywords

Paley-Wiener theoremsymmetric spacehypergeometric function\(\chi\)-spherical Fourier transformhypergeometric shift operator

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Differential geometry of symmetric spaces (53C35) Harmonic analysis and spherical functions (43A90) Hypergeometric functions associated with root systems (33C67)

Related Items (1)

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

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