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arXiv · 2512.07271

A remark on the Beurling-Malliavin theorem in several variables

Alex Bergman
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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.

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Alex Bergman. 2025-12-08. A remark on the Beurling-Malliavin theorem in several variables. https://arxiv.org/abs/2512.07271

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