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.
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页码：1 / 28
页数：28
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