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On Fourier multipliers and absolute convergence of Fourier integrals of radial functions

We obtain sufficient conditions for the representability of a function in the form of an absolutely convergent Fourier integral. These conditions are given in terms of the joint behavior of the function and its derivatives at infinity, and their efficiency and exactness are verified with the use of...

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Bibliographic Details
Date:	2010
Main Authors:	Trigub, R. M., Тригуб, Р. М.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2010
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2954
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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