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A GENERALIZATION OF THE FIRST BEURLING AND MALLIAVIN THEOREM
- Authors: Vasilyev I.M.1
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Affiliations:
- St. Petersburg Department of V.A. Steklov Institute of Mathematics of the Russian Academy of Sciences
- Issue: Vol 509, No 1 (2023)
- Pages: 83-86
- Section: MATHEMATICS
- URL: https://rjeid.com/2686-9543/article/view/647909
- DOI: https://doi.org/10.31857/S2686954322600550
- EDN: https://elibrary.ru/CQEOWO
- ID: 647909
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Abstract
In this paper, we announce a result that generalizes the first Beurling–Malliavin theorem. In other words, we give a new sufficient condition on a function, which guarantees that it belongs to the Beurling–Malliavin class of majorants. It is also shown that the main result of this article is sharp in many senses.
About the authors
I. M. Vasilyev
St. Petersburg Department of V.A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Author for correspondence.
Email: milavas@mail.ru
Russian, Saint-Petersburg
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