On Cartwright's theorem

TL;DR

This paper characterizes specific sets where Cartwright's theorem applies and explores their relationship with sampling sets for entire functions of exponential type.

Contribution

It provides a new characterization of sets satisfying Cartwright's theorem and links these sets to sampling theory for entire functions.

Findings

Identifies sets where Cartwright's theorem is valid

Establishes a connection between these sets and sampling sets

Enhances understanding of sampling for exponential type functions

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.