Two spaces conditions for integrability of the Fourier transform

Elijah Liflyand; Elena Ournycheva

doi:10.1524/anly.2008.0926

Two spaces conditions for integrability of the Fourier transform

Elijah Liflyand
, Elena Ournycheva

Department of Mathematics

University of Pittsburgh

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

3 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	429-443
Number of pages	15
Journal	Analysis (Germany)
Volume	28
Issue number	4
DOIs	https://doi.org/10.1524/anly.2008.0926
State	Published - 2008

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Two spaces conditions for integrability of the Fourier transform

Abstract

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