L1 convergence of Fourier transforms

E. Liflyand

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


This is the first attempt to generalize the problem of L1 convergence of trigonometric series to the non-periodic case. We extend one of the most general results and then show the way how to derive its prototype from the obtained extension.

Original languageEnglish
Article number91
JournalAnalysis and Mathematical Physics
Issue number2
StatePublished - Jun 2021

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.


  • Bounded variation
  • Fourier transform
  • Integrability
  • L convergence
  • Trigonometric series


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