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A generalization of
the Beurling–Malliavin majorant theorem
Ioann Vasilyev |
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Vol. 17 (2024), No. 9, 3355–3369
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Abstract |
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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
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Mathematical Subject Classification
Primary: 42B05, 42B20, 46E35
Secondary: 26A16
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Milestones
Received: 10 October 2022
Revised: 21 June 2023
Accepted: 18 July 2023
Published: 1 November 2024
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Authors |
| Ioann Vasilyev | |
| St. Petersburg Department of Steklov
Mathematical Institute Russian Academy of Sciences (PDMI RAS)
St. Petersburg Russia |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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