Necessary conditions for integrability of the fourier transform

Elijah Liflyand

Necessary conditions for integrability of the fourier transform

Elijah Liflyand

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We prove the necessary conditions for the integrability of the Fourier transform. The result is a generalization, on one hand, of the well known necessary condition for absolutely convergent Fourier series and, on the other hand, of an earlier multidimensional result of Trigub.

Original language	English
Pages (from-to)	553-559
Number of pages	7
Journal	Georgian Mathematical Journal
Volume	16
Issue number	3
State	Published - 2009

Keywords

Bessel function
Fractional integral/derivative
Integrable fourier transform
Radial part

Cite this

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title = "Necessary conditions for integrability of the fourier transform",

abstract = "We prove the necessary conditions for the integrability of the Fourier transform. The result is a generalization, on one hand, of the well known necessary condition for absolutely convergent Fourier series and, on the other hand, of an earlier multidimensional result of Trigub.",

keywords = "Bessel function, Fractional integral/derivative, Integrable fourier transform, Radial part",

author = "Elijah Liflyand",

year = "2009",

language = "אנגלית",

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KW - Bessel function

KW - Fractional integral/derivative

KW - Integrable fourier transform

KW - Radial part

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SN - 1072-947X

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JO - Georgian Mathematical Journal

JF - Georgian Mathematical Journal

IS - 3

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Necessary conditions for integrability of the fourier transform

Abstract

Keywords

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