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论文类型：期刊论文

发表时间：2007-12-01

发表刊物：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录刊物：SCIE、Scopus

卷号：336

期号：1

页面范围：127-139

ISSN号：0022-247X

关键字：multivariate orthogonal polynomials; invariant factor; Stieltjes type theorem; Jacobi matrix; location of common zeros

摘要：Invariant factors of bivariate orthogonal polynomials inherit most of the properties of univariate orthogonal polynomials and play an important role in the research of Stieltjes type theorems and location of common zeros of bivariate orthogonal polynomials. The aim of this paper is to extend our study of invariant factors from two variables to several variables. We obtain a multivariate Stieltjes type theorem, and the relationships among invariant factors, multivariate orthogonal polynomials and the corresponding Jacobi matrix. We also study the location of common zeros of multivariate orthogonal polynomials and provide some examples of tri-variate.