Extremal functions on Sobolev–Dunkl spaces

DOI10.1080/10652469.2012.725167zbMath1280.42005OpenAlexW2041168432MaRDI QIDQ2854305

Fethi Soltani

Publication date: 18 October 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.725167

zbMATH Keywords

Tikhonov regularizationpseudo-differential operatorextremal functionDunkl transformidentity operatorSobolev-Dunkl space

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (3)

Difference and primitive operators on the Dunkl-type Fock SPACE \(\mathscr{F}_{\alpha }(\mathbb{C}^d)\) ⋮ Cherednik-Sobolev spaces and applications ⋮ Sobolev spaces associated with a Dunkl type differential-difference operator on the real line and applications

Cites Work

• General inhomogeneous discrete linear partial differential equations with constant coefficients on the whole spaces
• Best approximation formulas for the Dunkl \(L^2\)-multiplier operators on \(\mathbb{R}^{d}\)
• Real inversion formulas of the Laplace transform on weighted function spaces
• Riesz transform and Riesz potentials for Dunkl transform
• The Dunkl transform
• \(L^{p}\)-Fourier multipliers for the Dunkl operator on the real line.
• Positivity of Dunkl's intertwining operator
• Some results on Tchebycheffian spline functions and stochastic processes
• The weierstrass transform and an isometry in the heat equation
• Integral Kernels with Reflection Group Invariance
• Approximate real inversion formulas of the gaussian convolution
• Approximate and analytical inversion formulas in heat conduction on multidimensional spaces
• Inversion formulas in the Dunkl-type heat conduction on
• Practical inversion formulas in a quantum mechanical system

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