Josip Globevnik
Published 2003-11-14Version 1
It is known that if f is a continuous function on the complex plane which extends holomorphically from each circle surrounding the origin then f is not necessarily holomorphic. In the paper we prove that if, in addition, f extends holomorphically from each circle belonging to an open family of circles which do not surround the origin then f is holomorphic.
On Chebyshev polynomials in the complex plane
On the analyticity of CR-diffeomorphisms
Holomorphic approximation of radial weights on the complex plane
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