The Wiener Algebra and Singular Integrals

E. Liflyand

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


Salem type conditions for trigonometric series are extended to functions from the Wiener algebra. While in the earlier one-dimensional generalization the conditions are given in terms of the Hilbert transform, for the multivariate setting all reasonable singular integrals are equally involved.

Original languageEnglish
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages11
StatePublished - 2021

Publication series

NameOperator Theory: Advances and Applications
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Bibliographical note

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


  • Fourier transform
  • Hardy space
  • Hilbert transform
  • Riesz transform
  • Singular integral
  • Wiener algebra


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