Equiconvergence of the expansions in multiple series and Fourier integrals whose ``rectangular partial sums are considered with respect to certain subsequence

DOI10.1007/s10476-014-0302-8zbMath1313.35377OpenAlexW132383502MaRDI QIDQ485521

Igor L. Bloshanskii, Denis A. Grafov

Publication date: 9 January 2015

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

Full work available at URL: https://doi.org/10.1007/s10476-014-0302-8

zbMATH Keywords

equiconvergenceFourier integralsrectangular partial sums

Mathematics Subject Classification ID

Fourier integral operators applied to PDEs (35S30)

Cites Work

• Structural and geometric characteristics of sets of convergence and divergence of multiple Fourier series with \(J_k\)-lacunary sequence of rectangular partial sums
• On convergence and growth of partial sums of Fourier series
• Convergence almost everywhere of certain singular integrals and multiple Fourier series
• Wavelet analysis on the circle
• On the divergence of multiple Fourier series
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