A Morera type theorem in the strip

Details A Morera type theorem in the strip A Morera type theorem in the strip

2002-08-19

arxiv.org/abs/math/0208136v1

Mathematics

Complex Variables

Scientific paper

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.

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