Regularization of the indefinite Stieltjes moment problem

被引：2

作者：

Kovalyov, Ivan ^{[1
]}

机构：

[1] Dragomanov Natl Pedag Univ, Dept Math, Pirogova 9, UA-01601 Kiev, Ukraine

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2020年 / 594卷

关键词：

Indefinite Stieltjes moment problem; Generalized Stieltjes function; Generalized Stieltjes polynomials; Schur algorithm; Resolvent matrix; Continued fraction; GENERALIZED RESOLVENTS; HERMITIAN OPERATORS; SCHUR-ALGORITHM;

D O I：

10.1016/j.laa.2020.02.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A not regular indefinite Stieltjes moment problem is studied in the generalized Stieltjes class N-k(k).The new class of the sequence s = {s(i)}(i=0)(l) is defined, which is called alpha-regular class. Regularization of the indefinite Stieltjes moment problem is obtained. The set of solutions of this problem is found in terms of the generalized Stieltjes polynomials and S-fractions with the shift alpha. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：1 / 28

页数：28