Generalized localization and convergence tests for double trigonometric Fourier series of functions from \(L_ p\), \(p>1\)
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Publication:1173228
DOI10.1007/BF02102722zbMath0503.42003OpenAlexW388952818MaRDI QIDQ1173228
Publication date: 1981
Published in: Analysis Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02102722
Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier series and coefficients in several variables (42B05)
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 ⋮ Generalized localization and equiconvergence of expansions in double trigonometric series and in the Fourier integral for functions from \(L(\ln^+ L)^2\) ⋮ Majorant estimates for partial sums of multiple Fourier series of functions from Orlicz spaces vanishing on some set ⋮ On the existence of functions from \(L_ p\), p\(\geq 1\), whose Fourier series converge to zero on a prescribed set and diverge unboundedly outside it ⋮ Necessary conditions for the weak generalized localization of Fourier series with ``lacunary sequence of partial sums
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- Period, index and potential \(\text Ш\)
- On convergence and growth of partial sums of Fourier series
- The Brauer-Manin Obstruction and III[2]
- Analytic Extensions of Differentiable Functions Defined in Closed Sets
- On the divergence of multiple Fourier series
- On the Convergence of Fourier Series
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