Determining the jump of a function of \(m\)-harmonic bounded variation by its Fourier series

DOI10.3103/S1066369X23050043zbMath1526.42013OpenAlexW4386310552MaRDI QIDQ6086817

A. A. Kel'zon

Publication date: 10 November 2023

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

Full work available at URL: https://doi.org/10.3103/s1066369x23050043

zbMATH Keywords

Fourier seriesharmonic variationfunction jump

Mathematics Subject Classification ID

Classical almost periodic functions, mean periodic functions (42A75) Fourier series and coefficients in several variables (42B05) Functions of bounded variation, generalizations (26A45)

Cites Work

• Determination of the jump of a function of generalized bounded variation from the derivatives of the partial sums of its Fourier series
• On the determination of the jump of a function by its Fourier series
• Determination of the jumps of a bounded function by its Fourier series
• Functions of \((m,\Phi)\)-bounded variation and the convergence of Fourier series
• Determination of the jump of a function of bounded \(p\)-variation by its Fourier series
• On convergence of Fourier series of functions of generalized bounded variation

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