| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5774711 | Journal of Mathematical Analysis and Applications | 2017 | 14 Pages |
Abstract
In this paper we obtain new sufficient conditions for representation of a function as an absolutely convergent Fourier integral. Unlike those known earlier, these conditions are given in terms of belonging to weighted spaces. Adding weights allows one to extend the range of application of such results to Fourier multipliers with unbounded derivatives.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yu. Kolomoitsev, E. Liflyand,