A generalization of the Beurling--Malliavin Majorant theorem
Functional Analysis
2024-12-09 v5
Abstract
In this article we prove a generalization of the Beurling--Malliavin Majorant Theorem. In more detail, we establish a new sufficient condition for a function to be a Beurling--Malliavin Majorant. Our result is strictly more general than that of the Beurling--Malliavin Majorant Theorem. We also show that our result is sharp in a number senses.
Cite
@article{arxiv.2203.16674,
title = {A generalization of the Beurling--Malliavin Majorant theorem},
author = {Ioann Vasilyev},
journal= {arXiv preprint arXiv:2203.16674},
year = {2024}
}
Comments
A slight inaccuracy corrected. This caused a modification of the main result. 16 pages, 2 figures. To appear in the journal Analysis & PDE. ( https://msp.org/soon/coming.php?jpath=apde )