Cartwright-type and Bernstein-type theorems for functions analytic in a cone

Krein's entire functions and the Bernstein approximation problem

We extend two theorems of Krein concerning entire functions of Cartwright class, and give applications for the Bernstein weighted approximation problem.

关于 Moser 的 Bernstein 定理

On the Moser's Bernstein Theorem

本文通过建立无穷远处多种正则性条件与切锥为线性子空间及密度为 1 之间的等价关系，证明了 Moser 型 Bernstein 定理，并将其推广到极小超曲面情形，同时得到 o-minimal Chow 定理推广和 Yau Bernstein 问题的可定义集版本。