A weak generalized localization criterion for multiple Fourier series whose rectangular partial sums are considered over a subsequence
From MaRDI portal
Publication:542270
DOI10.1134/S1064562408060161zbMath1217.42022OpenAlexW2025064727MaRDI QIDQ542270
O. V. Lifantseva, Igor L. Bloshanskii
Publication date: 8 June 2011
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064562408060161
Related Items (5)
Maximal sets of convergence and unbounded divergence of multiple Fourier series with \(J_k\)-lacunary sequence of partial sums ⋮ Structural and geometric characteristics of sets of convergence and divergence of multiple Fourier series with \(J_k\)-lacunary sequence of rectangular partial sums ⋮ Convergence and localization in Orlicz classes for multiple Walsh-Fourier series with a lacunary sequence of rectangular partial sums ⋮ Trigonometric Fourier series and Walsh-Fourier series with lacunary sequence of partial sums ⋮ A weak generalized localization criterion for multiple Walsh-Fourier series with \(J_k\)-lacunary sequence of rectangular partial sums
Cites Work
- On convergence and growth of partial sums of Fourier series
- Convergence almost everywhere of certain singular integrals and multiple Fourier series
- On the divergence of multiple Fourier series
- STRUCTURAL AND GEOMETRIC CHARACTERISTICS OF SETS OF CONVERGENCE AND DIVERGENCE OF MULTIPLE FOURIER SERIES OF FUNCTIONS WHICH EQUAL ZERO ON SOME SET
This page was built for publication: A weak generalized localization criterion for multiple Fourier series whose rectangular partial sums are considered over a subsequence
