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A remark on the Beurling-Malliavin theorem in several variables

Bergman, Alex LU orcid (2025)
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Working paper/Preprint
publication status
published
subject
pages
7 pages
publisher
arXiv.org
language
English
LU publication?
yes
id
42c9a374-07f9-4408-b496-4bb88cff26e8
alternative location
https://arxiv.org/abs/2512.07271
date added to LUP
2025-12-09 09:03:49
date last changed
2025-12-18 17:19:54
@misc{42c9a374-07f9-4408-b496-4bb88cff26e8,
  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.}},
  author       = {{Bergman, Alex}},
  language     = {{eng}},
  month        = {{12}},
  note         = {{Preprint}},
  publisher    = {{arXiv.org}},
  title        = {{A remark on the Beurling-Malliavin theorem in several variables}},
  url          = {{https://arxiv.org/abs/2512.07271}},
  year         = {{2025}},
}