The Banach algebra \(A^*\) and its properties

DOI10.1007/BF02649131zbMath0882.42002MaRDI QIDQ1357293

Roald M. Trigub, Eh. S. Belinskij, Elijah Liflyand

Publication date: 20 July 1997

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59504

zbMATH Keywords

synthesisFourier transformBanach algebrasummabilityFourier seriesabsolute convergenceBeurling algebraLebesgue points

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (26)

Integrability spaces for the Fourier transform of a function of bounded variation ⋮ Stability of Localized Integral Operators on WeightedL^pSpaces ⋮ The Fourier transform of bivariate functions that depend only on the maximum of the absolute values of their variables ⋮ Strong summability of Fourier transforms at Lebesgue points and Wiener amalgam spaces ⋮ Fourier transformation of quasiconvex functions and functions of the class \(V^{*}\) ⋮ L^1 Convergence of Fourier transforms ⋮ Nikolskii inequality and functional classes on compact Lie groups ⋮ Conditions for the absolute convergence of Fourier integrals ⋮ Memory estimation of inverse operators ⋮ COMPOSITION OPERATORS ON WIENER AMALGAM SPACES ⋮ Fourier transforms on weighted amalgam-type spaces ⋮ Polynomial control on weighted stability bounds and inversion norms of localized matrices on simple graphs ⋮ Asymptotics of the Fourier sine transform of a function of bounded variation ⋮ The Fourier transform of a function of bounded variation: symmetry and asymmetry ⋮ Wiener algebras and trigonometric series in a coordinated fashion ⋮ Calderón-Mityagin couples of Banach spaces related to decreasing functions ⋮ The Wiener algebra of absolutely convergent Fourier integrals: an overview ⋮ Boundedness of convolution operators on Hardy spaces ⋮ Wiener's lemma: localization and various approaches ⋮ Wiener's lemma for infinite matrices. II ⋮ \(L^1\) convergence of Fourier transforms ⋮ Relation between Fourier series and Wiener algebras ⋮ Wiener-Beurling spaces and their properties ⋮ \(L^1\) convergence of Fourier transforms revisited ⋮ On quasi-monotone functions and sequences ⋮ Convolution in dual Cesàro sequence spaces

Cites Work

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