Analyticity of functions analytic on circles
Complex Variables
2009-06-09 v1
Abstract
Let U be the closed unit disc in C and let p be a point on the unit circle. Let f be a continuous function on U which extends holomorphically from each circle contained in U and centered at the origin, and from each circle contained in U and passing through the point p. Then f is holomorphic in the interior of U.
Cite
@article{arxiv.0906.1295,
title = {Analyticity of functions analytic on circles},
author = {Josip Globevnik},
journal= {arXiv preprint arXiv:0906.1295},
year = {2009}
}
Comments
9 pages, to appear in Journ.Math.Anal.Appl