Analytic continuation from a family of lines

Details Analytic continuation from a family of lines Analytic continuation from a family of lines

2008-01-03

arxiv.org/abs/0801.0462v1

Mathematics

Complex Variables

7 pages

Scientific paper

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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