Analyticity of functions analytic on circles

Details Analyticity of functions analytic on circles Analyticity of functions analytic on circles

2009-06-06

arxiv.org/abs/0906.1295v1

Mathematics

Complex Variables

9 pages, to appear in Journ.Math.Anal.Appl

Scientific paper

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.

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