A general Christoffel-Darboux type formula
type: Item
instance of: scholarly article
title: A general Christoffel-Darboux type formula
zbMATH Open document ID: 1217.65080
author: Hugo J. Woerdeman
published in: Integral Equations and Operator Theory
publication date: 2010-08-23T00:00:00Z
review text: This paper provides an expression for operator valued polynomials from which the classical Christoffel-Darboux formula for orthogonal polynomials can be directly derived. The main tool used is the Schur complement. In some other cases this general expression reduces to Christoffel-Darboux type formulas. Some existing results are refined. These new results are useful for studying projection operators.
reviewed by: Liu Xinguo
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 47A56
zbMATH DE Number: 5774011
zbMATH Keywords: operator valued polynomial
zbMATH Keywords: Christoffel-Darboux formula
zbMATH Keywords: Schur complement
zbMATH Keywords: multivariate Toeplitz matrices
MaRDI profile type: Publication
full work available at URL: s00020-010-1776-9
OpenAlex ID: W2051782882
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DOI: 10.1007/S00020-010-1776-9
description: scientific article; zbMATH DE number 5774011