Title of article
Conditions for the absolute convergence of Fourier integrals Original Research Article
Author/Authors
E. Liflyand، نويسنده , , R. Trigub، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
22
From page
438
To page
459
Abstract
New sufficient conditions for the representation of a function via an absolutely convergent Fourier integral are obtained in the paper. In the main result, this is controlled by the behavior near infinity of both the function and its derivative. This result is extended to any dimension d≥2
Keywords
Fourier integral , Fourier multiplier , Vitali variation
Journal title
Journal of Approximation Theory
Serial Year
2011
Journal title
Journal of Approximation Theory
Record number
852877
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