L1 convergence of Fourier transforms

E. Liflyand

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


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
Title of host publicationHarmonic Analysis and Partial Differential Equations
Subtitle of host publicationIn Honor of Vladimir Maz'ya
PublisherSpringer Nature
Number of pages11
ISBN (Electronic)9783031254246
ISBN (Print)9783031254239
StatePublished - 1 Jan 2023

Bibliographical note

Publisher Copyright:
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023.


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


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