Multipliers of Fourier series

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1991 English Publisher:Springer Science and Business Media LLCJournal:Ukrainian Mathematical Journal, volume 43, pages 1,572-1,578 (issn: 0041-5995, eissn: 1573-9376,

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Authors: Trigub, R. M.;

doi: 10.1007/bf01066697

Multipliers of Fourier series

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Abstract

Let \(S\) be a nonempty set of integers, and let \(C_ S(T)\) be a subspace of those \(f\) of \(C(T)\), \(T=(-\pi,\pi]\) whose spectrum is in \(S\), i.e., \(\{k:\hat f(k)\neq 0\}\subset S\). The paper deals with new propositions for multipliers of trigonometrical Fourier series in the spaces \(C(T)\) and \(C_ S(T)\).

Related Organizations

Donetsk National University
Ukraine

Keywords

trigonometrical Fourier series, multipliers, Multipliers in one variable harmonic analysis

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