Functions with derivative in a Hardy space

Elijah Liflyand

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

Abstract

As explained above, we are going to study separately the cosine Fourier transform $$ \hat{f}_c (x) = \int^\infty_\mathrm{0} f(t)\, \mathrm{cos}\, xt \, dt$$ and the sine Fourier transform $$ \hat{f}_s (x) = \int^\infty_\mathrm{0} f(t)\, \mathrm{sin}\, xt \, dt,$$ and their integrability properties.

Original languageEnglish
Title of host publicationApplied and Numerical Harmonic Analysis
PublisherSpringer International Publishing
Pages57-83
Number of pages27
DOIs
StatePublished - 2019

Publication series

NameApplied and Numerical Harmonic Analysis
ISSN (Print)2296-5009
ISSN (Electronic)2296-5017

Bibliographical note

Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

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