Testing analyticity on circles
Complex Variables
2007-05-23 v1
Abstract
Consider a continuous one parameter family of circles in complex plane that contains two circles lying in the exterior of one another. Under mild assumptions on the family, we prove that if a continuous function on the union of the above circles extends holomorphically into each circle, then the function is holomorphic in the interior of the union of the circles.
Cite
@article{arxiv.math/0502139,
title = {Testing analyticity on circles},
author = {A. Tumanov},
journal= {arXiv preprint arXiv:math/0502139},
year = {2007}
}