Spectral measures and Jacobi matrices related to Laguerre-type systems of orthogonal polynomials
type: Item
instance of: scholarly article
title: Spectral measures and Jacobi matrices related to Laguerre-type systems of orthogonal polynomials
zbMATH Open document ID: 0885.33005
author: O. Diekmann
published in: Constructive Approximation
publication date: 1998-04-22T00:00:00Z
review text: Orthogonal polynomials which satisfy three-term recursion formulas in which the coefficient sequences monotonically increase to infinity at a limited rate of growth are investigated. The corresponding Jacobi matrices represent unbounded selfadjoint operators which are bounded above or below and have no eigenvalues. The measure of orthogonality is proved to be absolute continuous.
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 39A70
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47B39
zbMATH DE Number: 1045360
zbMATH Keywords: absolute continuous measures
zbMATH Keywords: Jacobi matrices
zbMATH Keywords: eigenvalues
reviewed by: Hans-Jürgen Glaeske
MaRDI profile type: Publication
full work available at URL: s003659900051
OpenAlex ID: W2064972236
DOI: 10.1007/S003659900051
description: scientific article; zbMATH DE number 1045360