Density of zeros of the Cartwright class functions and the Helson--Szegö type condition

2022/08/24 by Sergei Avdonin, Avdonin, Sergei A., Sergei Ivanov +1
Mathematics · #42C99 #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematical functions and polynomials #Mathematics and Applications #Primary 30H35 #Secondary 30J10

paper · pdf · doi:10.48550/arxiv.2208.11350

openalex publication_date 2022/08/24 · openalex created_date 2022/08/27 · openalex updated_date 2026/07/28

Abstract

B. Ya. Levin has proved that zero set of a sine type function can be presented as a union of a finite number of separated sets, that is an important result in the theory of exponential Riesz bases. In the present paper we extend Levin's result to a more general class of entire functions F(z) with zeros in a strip 0

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