Best approximation formulas for the Dunkl \(L^2\)-multiplier operators on \(\mathbb{R}^{d}\)

DOI10.1216/RMJ-2012-42-1-305zbMath1247.42030OpenAlexW2033358777MaRDI QIDQ422026

Fethi Soltani

Publication date: 16 May 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1327329325

zbMATH Keywords

Dunkl operatorbest approximation formula\( L^2\)-multiplier operatorCalderón's reproducing formula

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Best approximation, Chebyshev systems (41A50) General harmonic expansions, frames (42C15)

Related Items (9)

Reproducing inversion formulas for the Dunkl-Wigner transforms ⋮ Dunkl multiplier operators and applications ⋮ 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 ⋮ Uncertainty principles for spherical mean \(L^2\)-multiplier operators ⋮ Inversion formulas for the Dunkl-type Segal–Bargmann transform ⋮ Unnamed Item ⋮ Extremal functions on Sobolev–Dunkl spaces

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