Weyl-Bessel transforms

DOI10.1016/S0377-0427(00)00649-XzbMath0997.44003OpenAlexW2089224102MaRDI QIDQ5946599

Azza Dachraoui

Publication date: 14 November 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00649-x

zbMATH Keywords

boundednessinversion formulacompactnessBessel operatorFourier-Bessel transformWeyl-Bessel transformWigner-Bessel transform

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (8)

Weyl transforms associated with Laguerre functions ⋮ Reproducing inversion formulas for the Dunkl-Wigner transforms ⋮ WAVELET TRANSFORMS ASSOCIATED TO GROUP REPRESENTATIONS AND FUNCTIONS INVARIANT UNDER SYMMETRY GROUPS ⋮ Wigner-Ville distribution function in the framework of linear canonical transform ⋮ Uncertainty principles for the Dunkl-Wigner transforms ⋮ On the Weinstein-Wigner transform and Weinstein-Weyl transform ⋮ Windowed-Kontorovich-Lebedev transforms ⋮ Weyl transforms on the upper half plane

Cites Work

• Inversion of the Lions transmutation operators using generalized wavelets
• Transformation intégrale de Weyl et théorème de Paley-Wiener associes à un opérateur différentiel singulier sur \((0,\infty)\)
• Harmonic analysis of probability measures on hypergroups
• Weyl transforms
• Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups
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