Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607688 | Journal of Approximation Theory | 2011 | 22 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
E. Liflyand, R. Trigub,