Polya sequences, Toeplitz kernels and gap theorems
By Mishko Mitkovski, Alexei Poltoratski. 2009
49 citations recorded by the source corpus.
A separated sequence $\Lambda$ on the real line is called a Polya sequence if any entire function of zero exponential type bounded on $\Lambda$ is constant. In this paper we solve the problem by Polya and Levinson that asks for a description of Polya sets. We also show that the Polya-Levinson problem is equivalent to a version of the so-called Beurling gap problem on Fourier transforms of measures. The solution is obtained via a recently developed approach based on the use of Toeplitz kernels and de Branges spaces of entire functions.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/82e95d2b096887dbdee8be5241f2170c1b448bae
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In Applied Mathematics
In Mathematical Physics
Citations in the corpus
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