Functions of bounded variation and their Fourier transforms

DOI10.1007/978-3-030-04429-9zbMath1418.42001OpenAlexW2945127873MaRDI QIDQ1726026

Elijah Liflyand

Publication date: 15 February 2019

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-04429-9

zbMATH Keywords

Fourier transformconvex functionsFourier seriesfunctions of bounded variationabsolutely continuous functions

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Functions of bounded variation, generalizations (26A45) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces (42-01)

Related Items (15)

The Wiener Algebra and Singular Integrals ⋮ Weighted Hankel transform and its applications to Fourier transform ⋮ \(L^p\) simulation for measures ⋮ L^1 Convergence of Fourier transforms ⋮ Variation type characterization of product Hardy spaces ⋮ Fourier transform inversion: bounded variation, polynomial growth, Henstock-Stieltjes integration ⋮ MULTIDIMENSIONAL FOURIER TRANSFORMS ON AN AMALGAM TYPE SPACE ⋮ Fourier transforms on weighted amalgam-type spaces ⋮ Wiener algebras and trigonometric series in a coordinated fashion ⋮ Real Hardy space, multidimensional variations, and integrability of the Fourier transform ⋮ Asymptotic decay of Fourier, Laplace and other integral transforms ⋮ \(L^1\) convergence of Fourier transforms ⋮ Multivariate bounded variation functions of Jordan-Wiener type ⋮ Wiener-Beurling spaces and their properties ⋮ \(L^1\) convergence of Fourier transforms revisited

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