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A generalization of the Beurling–Malliavin majorant theorem

Ioann Vasilyev

Vol. 17 (2024), No. 9, 3355–3369
Abstract

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 of senses.

Keywords
uncertainty principle, Beurling and Malliavin theorems
Mathematical Subject Classification
Primary: 42B05, 42B20, 46E35
Secondary: 26A16
Milestones
Received: 10 October 2022
Revised: 21 June 2023
Accepted: 18 July 2023
Published: 1 November 2024
Authors
Ioann Vasilyev
St. Petersburg Department of Steklov Mathematical Institute Russian Academy of Sciences (PDMI RAS) St. Petersburg
Russia

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