THE STRONG HAMBURGER MOMENT PROBLEM AND RELATED DIRECT AND INVERSE SPECTRAL PROBLEMS FOR BLOCK JACOBI-LAURENT MATRICES

被引：0

作者：

Berezansky, Yurij M. ^{[1
]}

Dudkin, Mykola E. ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, 3 Tereshchenkivska, UA-01601 Kiev, Ukraine

[2] Natl Tech Univ Ukraine KPI, UA-03056 Kiev, Ukraine

来源：

METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2010年 / 16卷 / 03期

关键词：

Classical and strong moment problems; block three-diagonal matrix; eigenfunction expansion; generalized eigenvector;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we propose an approach to the strong Hamburger moment problem based on the theory of generalized eigenvectors expansion for a self-adjoint operator. Such an approach to another type of moment problems was given in our works earlier, but for strong Hamburger moment problem it is new. We get a sufficiently complete account of the theory of such a problem, including the spectral theory of block Jacobi-Laurent matrices.

引用

页码：203 / 241

页数：39

共 44 条

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