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Journal

Uniform Distribution Theory (UDT)


Volume & Issue

UDT. Volume 19. Issue 1 & 2


Published on

December, 2024


Pages

43-66


DOI

https://doi.org/10.2478/udt-2024-0005

Article

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


Authors

Rita Giuliano, Georges Grekos and Ladislav Mišík


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.


Citation

Giuliano, R., Grekos, G. & Mišík, L. (2024). The Beurling-Malliavin Density, The Pólya Density and Their Connection. Uniform distribution theory, 19(1-2), 43-66. https://doi.org/10.2478/udt-2024-0005