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

DOI10.1007/BF02020761zbMath0691.42004OpenAlexW250194351MaRDI QIDQ582520

Igor L. Bloshanskii

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf02020761

zbMATH Keywords

multiple Fourier series

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier series and coefficients in several variables (42B05)

Cites Work

• Period, index and potential \(\text Ш\)
• Generalized localization and convergence tests for double trigonometric Fourier series of functions from \(L_ p\), \(p>1\)
• On convergence and growth of partial sums of Fourier series
• Über Konvergenzmengen von Fourierreihen
• Stone Duality for Nominal Boolean Algebras with И
• On the divergence of multiple Fourier series
• Unnamed Item
• Unnamed Item

This page was built for publication: 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