Wavelet packet analysis in the framework of Heckman-Opdam theory on \(\mathbb{R}^d \)
DOI10.1007/s10958-022-05887-9OpenAlexW4291163200MaRDI QIDQ6147817
Yassine Fantasse, Abdelaali Dades, Othman Tyr, Radouan Daher
Publication date: 1 February 2024
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-022-05887-9
wavelet packetshypergeometric Fourier transformCalderón formulaOpdam-Cherednik hypergeometric functionHeckman-Opdam wavelet transformscale discrete scaling functions
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) General integral transforms (44A05)
Cites Work
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- Characterization of the support for the hypergeometric Fourier transform of the \(W\)-invariant functions and distributions on \(\mathbb R ^d\) and Roe's theorem
- Ramanujan's master theorem for the hypergeometric Fourier transform associated with root systems
- Wavelet packets associated with a Dunkl type operator on the real line
- Wavelet transforms and localization operators
- A new proof of a Paley-Wiener type theorem for the Jacobi transform
- Generalized wavelet packet associated with Laguerre functions
- Lecture notes on Dunkl operators for real and complex reflection groups
- 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
- Harmonic analysis associated with the Cherednik operators and the Heckman–Opdam theory
- The trigonometric Dunkl intertwining operator and its dual associated with the Cherednik operators and the Heckman–Opdam theory
- The harmonic analysis associated to the Heckman-Opdam's theory and its application to a root system of type $BC_d$
- GENERALIZED WAVELETS AND THE GENERALIZED WAVELET TRANSFORM ON ℝdFOR THE HECKMAN-OPDAM THEORY
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