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Analytic continuation from a family of lines

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Abstract

Given a function f in the exterior of a convex curve in the real plane, we prove that if the restrictions of f to the tangent lines to the curve extend as entire functions, then the function f is an entire function of two variables.

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Correspondence to Alexander Tumanov.

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Tumanov, A. Analytic continuation from a family of lines. J Anal Math 105, 391–396 (2008). https://doi.org/10.1007/s11854-008-0043-3

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  • DOI: https://doi.org/10.1007/s11854-008-0043-3

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