Sectorial Paley-Wiener Theorem
Complex Variables
2024-01-08 v1
Abstract
By correcting, simplifying and extending a result of Morimoto, we prove a Paley-Wiener type theorem for functions of exponential type in a sector. It serves as a sectorial analogue of Polya's theorem on the indicator of entire functions and improves a result of Dzhrbashyan and Avetisyan by finding the maximal convex set of analytic continuation inside a sector.
Cite
@article{arxiv.2205.02192,
title = {Sectorial Paley-Wiener Theorem},
author = {Armen Vagharshakyan},
journal= {arXiv preprint arXiv:2205.02192},
year = {2024}
}