Lipschitz conditions in Laguerre hypergroup

DOI10.1007/S00009-017-0989-4zbMath1376.43008OpenAlexW2746280437MaRDI QIDQ1679410

Selma Negzaoui

Publication date: 9 November 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-0989-4

zbMATH Keywords

Laguerre hypergroupLipschitz classDini-Lipschitz classTitchmarsh theorem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Harmonic analysis on hypergroups (43A62)

Related Items (15)

Boas-type theorems for Laguerre type operator ⋮ Titchmarsh's theorem and some remarks concerning the right-sided quaternion Fourier transform ⋮ Sufficient conditions for the weighted integrability of Fourier–Laguerre transforms ⋮ Bernstein's inequalities and Jackson's inverse theorems in the Laguerre hypergroup ⋮ Deformed Hankel transform of Dini-Lipschitz functions ⋮ Unnamed Item ⋮ Lipschitz conditions in Damek-Ricci spaces ⋮ Time-frequency analysis associated with the Laguerre wavelet transform ⋮ Equivalence of $K$-functionals and modulus of smoothness for Laguerre type operator ⋮ Localization operators associated with the Laguerre-Wigner transform ⋮ Modulus of continuity and modulus of smoothness related to the deformed Hankel transform ⋮ Two-wavelet multipliers on the Dual of the Laguerre hypergroup and applications ⋮ Jackson's inequalities in Laguerre hypergroup ⋮ Modulus of smoothness and \(K\)-functionals constructed by generalized Laguerre-Bessel operator ⋮ On the generalized Dunkl Dini–Lipschitz spaces

Cites Work

• Lipschitz conditions for the generalized Fourier transform associated with the Jacobi-Cherednik operator on \(\mathbb{R}\)
• Fourier transforms of Dini-Lipschitz functions
• Deux cours d'analyse harmonique. École d'Été d'Analyse Harmonique de Tunis, 1984
• Spaces with an abstract convolution of measures
• Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets
• Dini Lipschitz functions for the Dunkl transform in the space \(\mathrm{L}^{2}(\mathbb{R}^{d},w_{k}(x)dx)\)
• Mean Summability Methods for Laguerre Series
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