复测度的多元近似Carleman型定理
Multivariable approximate Carleman-type theorems for complex measures
摘要：
本文证明了一个关于${\mathbb{R}}^n$和${\mathbb{R}}^n_+$上的复测度的多元近似Carleman定理。这是通过一个多变量Denjoy-Carleman最大值原理的准解析函数的几个变量。作为应用，我们得到了${\mathbb{C}}_+^n$上解析函数的一个离散的Phragmén-Lindelöf型定理.
英文摘要：
We prove a multivariable approximate Carleman theorem on the determination of complex measures on ${\mathbb{R}}^n$ and ${\mathbb{R}}^n_+$ by their moments. This is achieved by means of a multivariable Denjoy--Carleman maximum principle for quasi-analytic functions of several variables. As an application, we obtain a discrete Phragmén--Lindelöf-type theorem for analytic functions on ${\mathbb{C}}_+^n$.
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