A Morera type theorem in the strip

Alexander Tumanov

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A Morera type theorem in the strip

Alexander Tumanov

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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.

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Alexander Tumanov. 2002-08-19. A Morera type theorem in the strip. https://arxiv.org/abs/math/0208136

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