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arXiv · 2404.18711

The Beurling-Malliavin density, the Polya density and their connection

Rita Giuliano·Georges Grekos·Ladislav Misik
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Abstract

In this paper we present a new formulation of the Beurling-Malliavin density (Proposition 1). Then we consider the upper Polya density and show how its existence is connected with the concept of subadditivity; moreover, by means of some quantities introduced for proving Proposition 1, a theorem is presented that clarifies the connection between the upper Polya and the Beurling-Malliavin densities. In the last section we discuss the classical definition of the upper Polya density and we prove a result which seems to be new.

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Rita Giuliano, Georges Grekos, Ladislav Misik. 2024-04-29. The Beurling-Malliavin density, the Polya density and their connection. https://arxiv.org/abs/2404.18711

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