Characterization for the spectrum of the hypergeometric Fourier transform in terms of the generalized resolvent function

DOI10.1007/s11868-016-0152-1zbMath1380.42010OpenAlexW2329361624MaRDI QIDQ1685342

Hatem Mejjaoli

Publication date: 13 December 2017

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-016-0152-1

zbMATH Keywords

Heckman-Opdam Laplacianspectrum of function for the hypergeometric Fourier transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Other hypergeometric functions and integrals in several variables (33C70) General integral transforms (44A05)

Related Items (2)

Localization operators and scalogram associated with the generalized continuous wavelet transform on $\mathbb{R}^d$ for the Heckman–Opdam theory ⋮ Time–frequency analysis associated with the generalized Wigner transform

Cites Work

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• Harmonic analysis for certain representations of graded Hecke algebras
• A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
• Qualitative uncertainty principles for the hypergeometric Fourier transform
• Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
• A Property of Infinitely Differentiable Functions
• Positivity of the Jacobi–Cherednik intertwining operator and its dual
• New Type Paley-Wiener Theorems for the Dunkl Transform on R
• AN ANALOGUE OF COWLING–PRICE'S THEOREM AND HARDY'S THEOREM FOR THE GENERALIZED FOURIER TRANSFORM ASSOCIATED WITH THE SPHERICAL MEAN OPERATOR

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