A Morera type theorem in the strip
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🧮 math.CV
keywords
stripcircleclosedcomplexcontinuouseveryextendsfollowing
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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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