Article ID Journal Published Year Pages File Type
4607688 Journal of Approximation Theory 2011 22 Pages PDF
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≥2d≥2.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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