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Analyticity of functions analytic on circles
Authors:Josip Globevnik  
Institution:aInstitute of Mathematics, Physics and Mechanics, University of Ljubljana, Ljubljana, Slovenia
Abstract:Let Δ be the open unit disc inView the MathML source, let pset membership, variantbΔ, and let f be a continuous function on View the MathML source which extends holomorphically from each circle in View the MathML source centered at the origin and from each circle in View the MathML source which passes through p. Then f is holomorphic on Δ.
Keywords:Analyticity  Analyticity on families of circles
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