Fourier transform versus hilbert transform

Elijah Liflyand

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Certain relations between the Fourier transform of a function and the Hilbert transform of its derivative are revealed. They concern the integrability/non-integrability of both transforms. Certain applications are discussed.

Original languageEnglish
Pages (from-to)49-56
Number of pages8
JournalJournal of Mathematical Sciences
Issue number1
StatePublished - 1 Nov 2012

Bibliographical note

Publisher Copyright:
© 2012 Springer Science+Business Media New York.


  • Fourier transform
  • Hardy space
  • Hilbert transform
  • Integrability


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