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13.
Analyticity of functions analytic on circles
Globevnik, Josip, 1945-
Let ▫$\Delta$▫ be the open unit disc in ▫$\mathbb{C}$▫, let ▫$p \in b\Delta$▫, and let ▫$f$▫ be a continuous function on ▫$\overline{\Delta}$▫ which extends holomorphically from each circle in ...▫$\overline{\Delta}$▫ centered at the origin and from each circle in ▫$\overline{\Delta}$▫ which passes through ▫$p$▫. Then ▫$f$▫ is holomorphic on ▫$\Delta$▫.
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