Article
The Beurling-Malliavin Density, the Polya Density and Their Connection
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Abstract
In this paper we analyze the Beurling-Malliavin density and some other quantities related to it. Then we consider the upper P´olya 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 Po´lya and the Beurling-Malliavin densities. In the last section we discuss the classical definition of the upper P´olya density and we prove a result which seems to be new.
Keywords
Beurling–Malliavin density, upper P´olya density, increasing sequence, substantial.
Citation
Giuliano, R., Grekos, G., & Misık, L. (2024). The beurling-malliavin density, the polya density and their connection. Uniform Distribution Theory, 19(1), 46–70. https://doi.org/10.2478/UDT-2024-0005
R. Giuliano, G. Grekos and L. Misık, “The beurling-malliavin density, the polya density and their connection,” Uniform Distribution Theory, vol. 19, no. 1, pp. 46–70, 2024, doi: 10.2478/UDT-2024-0005.
Giuliano R, Grekos G, Misık L. The beurling-malliavin density, the polya density and their connection. Uniform Distribution Theory. 2024;19(1):46–70. doi:10.2478/UDT-2024-0005.
Giuliano, R., Grekos, G. and Misık, L. (2024), ‘The beurling-malliavin density, the polya density and their connection’, Uniform Distribution Theory, 19(1), pp. 46–70. Available at: https://doi.org/10.2478/UDT-2024-0005.
Giuliano, Rita, et al. “The Beurling-malliavin Density, the Polya Density and Their Connection.” Uniform Distribution Theory, vol. 19, no. 1, 2024, pp. 46–70. https://doi.org/10.2478/UDT-2024-0005.
Giuliano, Rita, Georges Grekos, and Ladislav Misık. “The Beurling-malliavin Density, the Polya Density and Their Connection.” Uniform Distribution Theory 19, no. 1 (2024): 46–70. https://doi.org/10.2478/UDT-2024-0005.
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- DOI: 10.2478/udt-2024-0005
- Type: article
- Source: Uniform distribution theory
- Published: 2024-12-01
- OpenAlex ID: W4407925882
Published by: Engineering Journals
