A remark on the Beurling-Malliavin theorem in several variables

Fuente: arXiv
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Autore principale: Bergman, Alex
Natura: Preprint
Pubblicazione: 2025
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author Bergman, Alex
author_facet Bergman, Alex
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_07271
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A remark on the Beurling-Malliavin theorem in several variables
Bergman, Alex
Complex Variables
Classical Analysis and ODEs
Functional Analysis
42B35, 42B10, 42B30, 32Cxx, 30H10
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.
title A remark on the Beurling-Malliavin theorem in several variables
topic Complex Variables
Classical Analysis and ODEs
Functional Analysis
42B35, 42B10, 42B30, 32Cxx, 30H10
url https://arxiv.org/abs/2512.07271