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.

中文翻译：

---

沿解析曲线的形式级数的全纯延拓

摘要

这项工作致力于一个形式齐次级数的全纯性，其对通过 0 的解析曲线的限制是全纯性的。在内容上，论文的主要成果是著名的 Forelli 定理关于形式级数的全纯延拓以及一组复线的变体。