Asymptotic behavior of the fourier transform of a function of bounded variation

Elijah Liflyand

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


A recent result on the asymptotic behavior of the sine Fourier transform of an arbitrary locally absolutely continuous function of bounded variation is extended to the case of several variables. For this, the initial one-dimensional result is reconsidered and refined. To even one-dimensional asymptotics and their multidimensional generalizations, a new balance operator is introduced.

Original languageEnglish
Title of host publicationApplied and Numerical Harmonic Analysis
PublisherSpringer International Publishing
Number of pages16
StatePublished - 2017

Publication series

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

Bibliographical note

Publisher Copyright:
© Springer International Publishing AG 2017.


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