Analyticity of functions analytic on circles

Josip Globevnik

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arXiv · 0906.1295

Analyticity of functions analytic on circles

Josip Globevnik

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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.

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Josip Globevnik. 2009-06-06. Analyticity of functions analytic on circles. https://arxiv.org/abs/0906.1295

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