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International mathematical journal of analysis and its applications

CiteScore 2018: 0.72

SCImago Journal Rank (SJR) 2018: 0.363
Source Normalized Impact per Paper (SNIP) 2018: 0.530

Mathematical Citation Quotient (MCQ) 2018: 0.36

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Volume 28, Issue 4


Two spaces conditions for integrability of the Fourier transform

Elijah Liflyand / Elena Ournycheva
Published Online: 2009-09-25 | DOI: https://doi.org/10.1524/anly.2008.0926


Tests for the integrability of the Fourier transform of a function are given in terms of belonging of the function simultaneously to two spaces of smooth functions. These are, in a sense, generalizations of Zygmund´s test for the absolute convergence of Fourier series.

Keywords: Fourier transform; smooth functions; Riesz potential; Bessel potential; Sobolev spaces

About the article

* Correspondence address: Bar-Ilan University, Department of Mathematics, Ramat-Gan 52900, Israel,

Published Online: 2009-09-25

Published in Print: 2008-12-01

Citation Information: Analysis International mathematical journal of analysis and its applications, Volume 28, Issue 4, Pages 429–443, ISSN (Print) 0174-4747, DOI: https://doi.org/10.1524/anly.2008.0926.

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