Multiplier operators and extremal functions related to the dual Dunkl-Sonine operator

DOI10.1016/S0252-9602(13)60010-7zbMath1289.42032OpenAlexW2106572975MaRDI QIDQ2437113

Fethi Soltani

Publication date: 28 February 2014

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(13)60010-7

zbMATH Keywords

extremal functionDunkl transformmultiplier operatorsdual Dunkl-Sonine operator

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Integral transforms of special functions (44A20)

Related Items (11)

Reproducing inversion formulas for the Dunkl-Wigner transforms ⋮ Heisenberg uncertainty principles for the Dunkl multipier operators ⋮ Uncertainty principles and extremal functions for the Dunkl \(L^2\)-multiplier operators ⋮ Calderón's reproducing formulas and extremal functions for the Riemann-Liouville \(L^2\)-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 ⋮ Unnamed Item ⋮ Uncertainty principles for spherical mean \(L^2\)-multiplier operators ⋮ Calderón’s reproducing formulas for the Weinstein L2-multiplier operators ⋮ Inversion formulas for the Dunkl-type Segal–Bargmann transform ⋮ Unnamed Item

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