Analytic continuation from a family of lines
Complex Variables
2008-01-04 v1
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.
Cite
@article{arxiv.0801.0462,
title = {Analytic continuation from a family of lines},
author = {Alexander Tumanov},
journal= {arXiv preprint arXiv:0801.0462},
year = {2008}
}
Comments
7 pages