Mean-periodic functions associated with the Dunkl operators

DOI10.1080/10652460310001600735zbMath1130.42009OpenAlexW1978333504MaRDI QIDQ4822858

Néjib Ben Salem, Samir Kallel

Publication date: 25 October 2004

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

Full work available at URL: https://doi.org/10.1080/10652460310001600735

zbMATH Keywords

Dunkl operatorFourier-Dunkl expansionmean periodic function

Mathematics Subject Classification ID

Classical almost periodic functions, mean periodic functions (42A75) General harmonic expansions, frames (42C15) Convolution, factorization for one variable harmonic analysis (42A85) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (9)

The wave equation for Dunkl operators ⋮ Generalized Dunkl-Lipschitz spaces ⋮ Weighted integrability of Fourier-Dunkl transforms and generalized Lipschitz classes ⋮ Inversion of Bessel potentials associated with the Dunkl operators on IRd ⋮ Characterization of function spaces for the Dunkl type operator on the real line ⋮ Equivalence of \(K\)-functionals and modulus of smoothness constructed by generalized Dunkl translations ⋮ Orthogonality and distributional weight functions for Dunkl–Hermite polynomials ⋮ Fourier-Dunkl transforms and generalized symmetric Lipschitz classes ⋮ Sonine-Dimovski transform and spectral synthesis associated with the hyper-Bessel operator on the complex plane

Cites Work

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• Moyennes généralisées
• Lectures on mean periodic functions. Notes by P. K. Raman
• A new look at interpolation theory for entire functions of one variable
• Mean-periodic functions
• Théorie générale des fonctions moyenne-périodiques
• Solution of Some Problems of Division. Part IV. Invertible and Elliptic Operators
• Integral Kernels with Reflection Group Invariance

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