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arXiv · 2205.02192

Sectorial Paley-Wiener Theorem

Armen Vagharshakyan
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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.

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Armen Vagharshakyan. 2022-05-04. Sectorial Paley-Wiener Theorem. https://doi.org/10.1002/mma.9618

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