Bilinear semiclassical moment functionals and their integral representation

被引：18

作者：

Bertola, M

机构：

[1] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada

[2] Concordia Univ, Dept Math & Stat, Montreal, PQ H4B 1R6, Canada

来源：

JOURNAL OF APPROXIMATION THEORY | 2003年 / 121卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

moment functionals; biorthogonal polynomials; semiclassical functionals;

D O I：

10.1016/S0021-9045(02)00044-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the notion of bilinear moment functional and study their general properties. The analogue of Favard's theorem for moment functionals is proven. The notion of semiclassical bilinear functionals is introduced as a generalization of the corresponding notion for moment functionals and motivated by the applications to multi-matrix random models. Integral representations of such functionals are derived and shown to be linearly independent. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：71 / 99

页数：29

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