The operator moment problem, vector continued fractions and an explicit form of the Favard theorem for vector orthogonal polynomials

作     者：Kaliaguine, V 

作者机构：RUSSIAN ACAD SCIINST APPL MATHMOSCOW 125047RUSSIA NIZHNII NOVGOROD UNIVDEPT MATHNIZHNII NOVGOROD 603600RUSSIA 

出 版 物：《JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS》 (计算与应用数学杂志)

年 卷 期：1995年第65卷第1-3期

页      面：181-193页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：INTAS, (93-219) Russian Foundation for Fundamental Investigations, RFFI, (93-011-278) International Foundation for Science, IFS Israel Science Foundation, ISF, (N7N 000) 

主　　题：operator moment problem vector orthogonal polynomials Favard theorem vector continued fractions Jacobi-Perron algorithm Hermite-Pade approximants 

摘      要：We study the operator moment problem for a (p + 2)-diagonal nonsymmetric matrix operator and give an explicit form of the Favard theorem for vector orthogonal polynomials. As a main tool we use the development of a system of resolvent functions of the operator in a vector continued fraction by a modified Jacobi-Perron algorithm.