Boas-type theorems for the \(q\)-Bessel Fourier transform

DOI10.1007/s13324-021-00542-zzbMath1467.42007OpenAlexW3163941836WikidataQ113899304 ScholiaQ113899304MaRDI QIDQ2037358

Radouan Daher, El Mehdi Berkak, EL. Loualid

Publication date: 30 June 2021

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-021-00542-z

zbMATH Keywords

Lipschitz condition\(q\)-Bessel Fourier transformBoas theorems

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Lipschitz (Hölder) classes (26A16) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (11)

Boas-type theorems for Laguerre type operator ⋮ Boas and Titchmarsh type theorems for generalized Lipschitz classes and \(q\)-Bessel Fourier transform ⋮ Dual Boas type results for the quaternion transform and generalized Lipschitz spaces ⋮ Boas-type results for Mellin transform ⋮ Discrete Fourier-Jacobi transform and generalized Lipschitz classes ⋮ Laguerre-Bessel transform and generalized Lipschitz classes ⋮ Boas type and Titchmarsh type theorems for generalized Fourier-Bessel transform ⋮ Generalized Lipschitz conditions for absolute convergence of weighted Jacobi-Dunkl series ⋮ Boas type results for two-sided quaternion Fourier transform and uniform Lipschitz spaces ⋮ Absolutely convergent \(q\)-Dunkl integrals and classical function spaces ⋮ Fourier-Dunkl transforms and generalized symmetric Lipschitz classes

Cites Work

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• On q-Analogues of the Fourier and Hankel Transforms
• An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions
• On the $q$-Bessel Fourier transform

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