## Abstract We prove a Capelli type theorem on the canonical decomposition for multiplicative convolutions of polynomials. We derive then some irreducibility criteria for convolutions of polynomials in several variables over a given field. The irreducibility conditions are expressed only in terms o
Stieltjes Type Theorems for Orthogonal Polynomials of Two Variables
β Scribed by Zhong-xuan Luo; Ren-hong Wang
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 111 KB
- Volume
- 268
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
In this paper, some important properties of orthogonal polynomials of two variables are investigated. The concepts of invariant factor for orthogonal polynomials of two variables are introduced. The presented results include Stieltjies type theorems for multivariate orthogonal polynomials and the corresponding asymptotic expansion formulas.  2002 Elsevier Science (USA)
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