Ramanujan's master theorem for the hypergeometric Fourier transform associated with root systems

DOI10.1007/s00041-013-9290-5zbMath1314.43002arXiv1211.0024OpenAlexW2057524486MaRDI QIDQ485194

Gestur Olafsson, Angela Pasquale

Publication date: 9 January 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.0024

zbMATH Keywords

spherical functionshypergeometric functionsJacobi polynomialsroot systemsCherednik operatorshypergeometric Fourier transformRamanujan's master theorem

Mathematics Subject Classification ID

Other transforms and operators of Fourier type (43A32) Harmonic analysis and spherical functions (43A90) Hypergeometric functions associated with root systems (33C67)

Related Items (13)

Harish-Chandra's \(c\)-function; 50 years later ⋮ Integrability of conformal blocks. I: Calogero-Sutherland scattering theory ⋮ Boundedness and compactness of Heckman-Opdam two-wavelet multipliers ⋮ Characterization for the spectrum of the hypergeometric Fourier transform in terms of the generalized resolvent function ⋮ Ramanujan's master theorem for radial sections of line bundles over the Poincaré upper half plane ⋮ Wavelet packet analysis in the framework of Heckman-Opdam theory on \(\mathbb{R}^d \) ⋮ Localization operators associated with the hypergeometric Wigner transform related to the Cherednik operators in the case of the root system \(BC_d\) ⋮ Localization operators and scalogram associated with the generalized continuous wavelet transform on $\mathbb{R}^d$ for the Heckman–Opdam theory ⋮ QUALITATIVE UNCERTAINTY PRINCIPLES FOR THE INVERSE OF THE HYPERGEOMETRIC FOURIER TRANSFORM ⋮ Time–frequency analysis associated with the generalized Wigner transform ⋮ Ramanujan's master theorem for Sturm Liouville operator ⋮ Qualitative uncertainty principles for the hypergeometric Fourier transform ⋮ On the range of the Opdam-Cherednik transform and Roe's theorem in the Cherednik setting

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