A remark on the Beurling-Malliavin theorem in several variables
Complex Variables
2025-12-09 v1 Classical Analysis and ODEs
Functional Analysis
Abstract
We use a lifting trick to show that the Beurling-Malliavin multiplier theorem extends to radial functions in several variables in a straightforward way. This simplifies an argument of Vasilyev and also answers a question of Vasilyev on the Cartwright version of the theorem.
Keywords
Cite
@article{arxiv.2512.07271,
title = {A remark on the Beurling-Malliavin theorem in several variables},
author = {Alex Bergman},
journal= {arXiv preprint arXiv:2512.07271},
year = {2025}
}