Abstract
Consider a continuous one parameter family of circles in a complex plane that contains two circles lying in the exterior of one another. We prove that if a continuous function on the union of the circles extends holomorphically into each circle, then the function is holomorphic in the interior of the union of the circles.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 785-790 |
| Number of pages | 6 |
| Journal | American Journal of Mathematics |
| Volume | 129 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 2007 |
ASJC Scopus subject areas
- Mathematics(all)