Bump Functions With Monotone Fourier Transforms Satisfying Decay Bounds
Classical Analysis and ODEs
2022-08-19 v2
Abstract
The existence of a smooth, nonnegative, compactly supported function with monotone (on the half-line) Fourier transform satisfying two-sided decay bounds is demonstrated.
Cite
@article{arxiv.2003.12364,
title = {Bump Functions With Monotone Fourier Transforms Satisfying Decay Bounds},
author = {Tamer Tlas},
journal= {arXiv preprint arXiv:2003.12364},
year = {2022}
}
Comments
7 pages, 1 figure; the main result is strengthened by requiring the constructed function to be nonnegative