ON THE TWO-DIMENSIONAL MOMENT PROBLEM

被引：4

作者：

Zagorodnyuk, Sergey ^{[1
]}

机构：

[1] Kharkov Natl Univ, Sch Math & Mech, UA-61077 Kharkov, Ukraine

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2010年 / 1卷 / 01期

关键词：

Moment problem; Hilbert space; linear equation;

D O I：

10.15352/afa/1399900996

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we obtain an algorithm towards solving the two-dimensional moment problem. This algorithm gives the necessary and sufficient conditions for the solvability of the moment problem. It is shown that all solutions of the moment problem can be constructed using this algorithm. In a consequence, analogous results are obtained for the complex moment problem.

引用

页码：80 / 104

页数：25

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