A criterion for a function given by its values (with multiplicities) at a sequence of points in the disc to extend to a holomorphic function in with modulus at most is stated and proved. In the case when the function is defined by the values of its derivatives at , this coincides with Schur’s well-known criterion.

Bibliography: 16 titles.

中文翻译：

---

将函数扩展为 Schur 函数的充要条件

陈述并证明了由圆盘中一系列点处的值（具有多重性）给出的函数扩展到模数至多的全纯函数的标准。在函数由其在 处的导数值定义的情况下，这与 Schur 众所周知的标准一致。

参考书目：16 题。