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

Elijah Liflyand

doi:10.1007/978-3-319-55556-0_4

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

Elijah Liflyand

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

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 language	English
Title of host publication	Applied and Numerical Harmonic Analysis
Publisher	Springer International Publishing
Pages	517-532
Number of pages	16
Edition	9783319555553
DOIs	https://doi.org/10.1007/978-3-319-55556-0_4
State	Published - 2017

Publication series

Name	Applied and Numerical Harmonic Analysis
Number	9783319555553
ISSN (Print)	2296-5009
ISSN (Electronic)	2296-5017

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Publisher Copyright:
© Springer International Publishing AG 2017.

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10.1007/978-3-319-55556-0_4

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

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