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

DOI10.2969/JMSJ/88728872arXiv2007.08281OpenAlexW4311631241MaRDI QIDQ6199849

Tatsuo Honda, Hiroshi Oda, Nobukazu Shimeno

Publication date: 28 February 2024

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08281

zbMATH Keywords

Jacobi functionspherical functionhypergeometric Fourier transformHeckman-Opdam hypergeometric function

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Spherical harmonics (33C55) Harmonic analysis and spherical functions (43A90) Hypergeometric functions associated with root systems (33C67)

Cites Work

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