A Note on Band-limited Minorants of an Euclidean Ball
Classical Analysis and ODEs
2017-12-11 v2
Abstract
We study the Beurling-Selberg problem of finding band-limited -functions that lie below the indicator function of an Euclidean ball. We compute the critical radius of the support of the Fourier transform for which such construction can have a positive integral.
Cite
@article{arxiv.1704.00837,
title = {A Note on Band-limited Minorants of an Euclidean Ball},
author = {Felipe Gonçalves},
journal= {arXiv preprint arXiv:1704.00837},
year = {2017}
}
Comments
6 pages