A Morera type theorem in the strip
Complex Variables
2007-05-23 v1
Abstract
We prove the following result. Let f be a continuous function in the closed infinite strip in complex plane. Suppose the restriction of f to every circle inscribed in the strip extends holomorphically inside the circle. Then f is holomorphic in the open strip.
Keywords
Cite
@article{arxiv.math/0208136,
title = {A Morera type theorem in the strip},
author = {Alexander Tumanov},
journal= {arXiv preprint arXiv:math/0208136},
year = {2007}
}