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Mellin integral transforms and generalized Lipschitz and Zygmund spaces - MaRDI portal

Mellin integral transforms and generalized Lipschitz and Zygmund spaces (Q6043157)

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scientific article; zbMATH DE number 7682214

Language	Label	Description	Also known as
English	Mellin integral transforms and generalized Lipschitz and Zygmund spaces	scientific article; zbMATH DE number 7682214

Statements

scholarly article

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Mellin integral transforms and generalized Lipschitz and Zygmund spaces (English)

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Journal of Pseudo-Differential Operators and Applications

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publication date

4 May 2023

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zbMATH Keywords

Mellin transforms

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Mellin translation operator

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Lipschitz classes

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Zygmund classes

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Boas' theorems

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11868-023-00517-7

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The foundations of fractional calculus in the Mellin transform setting with applications

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A generalization of the Paley-Wiener theorem for Mellin transforms and metric characterization of function spaces

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Mellin analysis and its basic associated metric -- applications to sampling theory

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Exponential-sampling method for Laplace and other dilationally invariant transforms: II. Examples in photon correlation spectroscopy and Fraunhofer diffraction

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A direct approach to the Mellin transform

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A self-contained approach to mellin transform analysis for square integrable functions; applications

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An analog of Titchmarsh's theorem for the q-Dunkl transform in the space \(L_{q,\alpha }^2({\mathbb{R}}_q)\)

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Growth properties of the \(q\)-Dunkl transform in the space \(L^p_{q,\alpha }({\mathbb{R}}_q,|x|^{2\alpha +1}d_qx)\)

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Integrability of the Fourier–Jacobi transform of functions satisfying Lipschitz and Dini–Lipschitz-type estimates

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Deux cours d'analyse harmonique. École d'Été d'Analyse Harmonique de Tunis, 1984

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Operational Calculus and Related Topics

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Quaternion Fourier transform and generalized Lipschitz classes

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Absolutely convergent Fourier integrals and classical function spaces

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Absolutely convergent Fourier series and function classes

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Absolutely convergent Fourier series, classical function classes and Paley's theorem

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Higher order Lipschitz classes of functions and absolutely convergent Fourier series

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Absolutely convergent \(q\)-Dunkl integrals and classical function spaces

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On generalized Lipschitz classes and Fourier series

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Smoothness conditions and Fourier series

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Fourier-Bessel transforms and generalized uniform Lipschitz classes

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Fourier transforms and generalized Lipschitz classes in uniform metric

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Fourier transforms of Dini-Lipschitz functions

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Identifiers

10.1007/s11868-023-00517-7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6043157

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