Weak generalized localization for multiple Fourier series whose rectangular partial sums are considered with respect to some subsequence
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Publication:2518051
DOI10.1134/S0001434608090022zbMath1178.42010MaRDI QIDQ2518051
O. V. Lifantseva, Igor L. Bloshanskii
Publication date: 12 January 2009
Published in: Mathematical Notes (Search for Journal in Brave)
multiple Fourier seriespartial sumHölder's inequalitylacunary sequenceOrlicz classweak generalized localizationgeneralized localization
Related Items (5)
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 ⋮ A weak generalized localization criterion for multiple Walsh-Fourier series with \(J_k\)-lacunary sequence of rectangular partial sums ⋮ Necessary conditions for the weak generalized localization of Fourier series with ``lacunary sequence of partial sums ⋮ Localization for multiple Fourier series with ``\(J_k\)-lacunary sequence of partial sums in Orlicz classes
Cites Work
- A weak generalized localization of multiple Fourier series of continuous functions with a certain module of continuity
- On convergence and growth of partial sums of Fourier series
- Convergence almost everywhere of certain singular integrals and multiple Fourier series
- Theorems on Fourier Series and Power 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
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