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)|
|Number of pages||6|
|Journal||American Journal of Mathematics|
|State||Published - Jun 2007|
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