Waterman classes and spherical partial sums of double Fourier series

DOI10.1007/BF01904022zbMath0820.42005OpenAlexW50699002MaRDI QIDQ1842727

M. I. D'yachenko

Publication date: 11 September 1995

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01904022

zbMATH Keywords

spherical partial sumsdouble trigonometric Fourier seriesWaterman class

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Related Items (10)

Convergence of multiple Fourier series of functions of bounded generalized variation ⋮ Convergence of double Fourier series and $W$-classes ⋮ On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation ⋮ On the summability of double Walsh--Fourier series of functions of bounded generalized variation ⋮ On the convergence and summability of double Walsh-Fourier series of functions of bounded generalized variation ⋮ Negative order Cesàro means of double Fourier series and bounded generalized variation ⋮ Summability of multiple Fourier series of functions of bounded generalized variation ⋮ On the convergence of multiple Fourier series of functions of bounded partial generalized variation ⋮ The Path to Λ-Bounded variation ⋮ Uniform summability of double Walsh-Fourier series of functions of bounded partial Λ-variation

Cites Work

• Some results on double Fourier series
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