On the topological stability of continuous functions in certain spaces related to Fourier series

DOI10.1070/IM2010V074N02ABEH002489zbMath1205.42006OpenAlexW2152176512MaRDI QIDQ3566459

V. V. Lebedev

Publication date: 8 June 2010

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2010v074n02abeh002489

zbMATH Keywords

homeomorphism of the circle\(p\)-summable Fourier seriesFourier multiplier on \(\ell^p(\mathbb Z)\)modulus of quadratic variationstability under change of variable

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier series and coefficients in several variables (42B05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Functions of bounded variation, generalizations (26A45)

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