Holomorphic continuation of a formal series along analytic curves

Abstract

The work is devoted to the holomorphy of a formal homogeneous series whose restrictions to analytic curves passing through 0 are holomorphic. In content, the main result of the paper is a variation of the well-known Forelli theorem on the holomorphic continuation of formal series along with a set of complex lines.

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Identifiers

DOI

10.1080/17476933.2020.1818734

Citations and references