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The Beurling-Malliavin Density, The Pólya Density and Their Connection Cover

The Beurling-Malliavin Density, The Pólya Density and Their Connection

Open Access
|Feb 2025

Abstract

In this paper we analyze the Beurling-Malliavin density and some other quantities related to it. Then we consider the upper Pólya density and show how its existence is connected with the concept of subadditivity; moreover a theorem is presented that clarifies the connection between the upper Pólya and the Beurling-Malliavin densities. In the last section we discuss the classical definition of the upper Pólya density and we prove a result which seems to be new.

DOI: https://doi.org/10.2478/udt-2024-0005 | Journal eISSN: 2309-5377 | Journal ISSN: 1336-913X
Language: English
Page range: 43 - 66
Submitted on: Mar 30, 2024
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Accepted on: Jul 10, 2024
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Published on: Feb 24, 2025
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2025 Rita Giuliano, Georges Grekos, Ladislav Mišík, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.