On Cartwright's theorem

2016/03/31 by Blank, Natalia, Ulanovskii, Alexander · 2 citations
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1603.09585

Abstract

We present a characterization of sets for which Cartwright's theorem holds true. The connection is discussed between these sets and sampling sets for entire functions of exponential type.

Cited by

• Multiplier Between Generalized Toeplitz Kernels
• Discretization Theorems for Entire Functions of Exponential Type

Related

• Zero sets of entire functions of exponential type with some conditions on real axis
• Cartwright-type and Bernstein-type theorems for functions analytic in a cone
• Density of zeros of the Cartwright class functions and the Helson--Szegö type condition
• Sampling Sets for the Nevanlinna class
• Sampling sets for Hardy spaces of the disk