Generalized Lipschitz classes in uniform metric and \(q\)-Dunkl Fourier transforms

DOI10.1007/S13324-024-00983-2MaRDI QIDQ6639785

S. S. Volosivets

Publication date: 18 November 2024

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

zbMATH Keywords

weighted integrabilitygeneralized Lipschitz spacesBoas type theorem\(q\)-Dunkl Fourier transform\(q\)-Dunkl translation

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Cites Work

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• Duhamel solutions of non-homogeneous $q^2$-analogue wave equations
• Smoothness conditions and Fourier series
• On the $q$-Bessel Fourier transform
• Bessel harmonic analysis and approximation of functions on the half-line
• Quantum calculus
• Boas and Titchmarsh type theorems for generalized Lipschitz classes and \(q\)-Bessel Fourier transform

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