Inversion formulas in the Dunkl-type heat conduction on

DOI10.1080/00036810410001731492zbMath1084.46019OpenAlexW2043078518MaRDI QIDQ5462895

Fethi Soltani

Publication date: 27 July 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810410001731492

zbMATH Keywords

reproducing kernelsDunkl operatorsDunkl-type Gaussian convolution

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Integral transforms of special functions (44A20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items

Reproducing inversion formulas for the Dunkl-Wigner transforms ⋮ Dunkl multiplier operators and applications ⋮ Analytical approximation formulas in quantum calculus ⋮ Uncertainty principles and extremal functions for the Dunkl \(L^2\)-multiplier operators ⋮ Some examples of extremal functions on the Dunkl-type Fock space \(F_k(\mathbb C)\) ⋮ Analytical and numerical approximation formulas on the Dunkl-type Fock spaces ⋮ Analytical and numerical approximation formulas for the Fourier multiplier operators ⋮ Ranges and inversion formulas for the Dunkl intertwining operator and its dual ⋮ A general form of Heisenberg–Pauli–Weyl uncertainty inequality for the Dunkl transform ⋮ Inversion formulas for the Dunkl-type Segal–Bargmann transform ⋮ Unnamed Item ⋮ Extremal functions on Sobolev–Dunkl spaces ⋮ Maximal Bochner–Riesz operators on Hardy-type spaces in the Dunkl setting ⋮ Analytical and numerical applications for the Fourier multiplier operators on ℝⁿ× (0, ∞)

Cites Work

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• The weierstrass transform and an isometry in the heat equation
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