Three different generalizations will be given for Nishino’s rigidity theorem asserting the triviality of Stein families of $\mathbb{C}$ over the polydisc, in connection to generalizations of Hartogs’s theorem on the analyticity criterion for continuous functions.

中文翻译：

---

Nishino和Hartogs定理的$ L ^ 2 $方法推广

Nishino的刚性定理将给出三种不同的概括，其中断言$ \ mathbb {C} $的Stein族在多碟上是微不足道的，并与Hartogs定理关于连续函数的解析性准则的推广有关。