On the representation of a function as an absolutely convergent Fourier integral
type: Item
instance of: scholarly article
title: On the representation of a function as an absolutely convergent Fourier integral
zbMATH Open document ID: 1203.42011
DOI: 10.1134/S0081543810020136
author: Elijah Liflyand
author: R. M. Trigub
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2010-11-15T00:00:00Z
review text: The authors obtain new sufficient conditions for the representation of a function by an absolutely convergent Fourier integral in \(\mathbb{R}^d\). These conditions are given in terms of simultaneous behavior of a function and its derivative at \(\infty\). Sharpness of the conditions are tested by well-known examples.
Mathematics Subject Classification ID: 42Bxx
Mathematics Subject Classification ID: 42B10
Mathematics Subject Classification ID: 42B15
zbMATH DE Number: 5816202
zbMATH Keywords: Fourier integral
zbMATH Keywords: Fourier transform
zbMATH Keywords: Fourier multiplier
reviewed by: Brett Wick
MaRDI profile type: Publication
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full work available at URL: s0081543810020136
OpenAlex ID: W1981433458
description: scientific article; zbMATH DE number 5816202