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An analog of Titchmarsh's theorem for the generalized Dunkl transform

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Publication:262291
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DOI10.1007/s11868-015-0130-zzbMath1338.47031OpenAlexW1217001445MaRDI QIDQ262291

Radouan Daher, Mohamed El Hamma

Publication date: 29 March 2016

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-015-0130-z


zbMATH Keywords

differential-difference operatorgeneralized dual translation operatorgeneralized Dunkl transform


Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Integral transforms, operational calculus (44A99)


Related Items

Best trigonometric approximation and Dini-Lipschitz classes ⋮ Fractional Riesz–Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition ⋮ Lipschitz conditions in Damek-Ricci spaces ⋮ Discrete Fourier-Laplace transforms of Lipschitz functions in the spaces \(S^{(p,q)}(\sigma^{m-1})\) ⋮ An analog of the Titchmarsh's theorem for the first Hankel-Clifford transform ⋮ On spherical analogues of the classical theorems of Titchmarsh



Cites Work

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  • Equivalence of \(K\)-functionals and modulus of smoothness constructed by generalized Dunkl translations
  • Approximation of functions by the Fourier-Bessel sums
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