On convergence of Fourier series of Besicovitch almost periodic functions

DOI10.1007/s10986-013-9207-7zbMath1279.42006OpenAlexW2034867505MaRDI QIDQ383670

Trinh Khanh Duy

Publication date: 5 December 2013

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-013-9207-7

zbMATH Keywords

Fourier seriesBesicovitch almost periodic functionmartingale convergence theoremCarleson-Hunt theorem

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Classical almost periodic functions, mean periodic functions (42A75) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (4)

Variants of a theorem of Helson on general Dirichlet series ⋮ Riesz means in Hardy spaces on Dirichlet groups ⋮ Hardy spaces of general Dirichlet series — a survey ⋮ Vector-valued general Dirichlet series

Cites Work

• Carleson's convergence theorem for Dirichlet series.
• On convergence and growth of partial sums of Fourier series
• On the convergence of multiple Fourier series
• Probability
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