Nondegeneracy, relative differentiability, and integral representation of weak Markov systems
type: Item
instance of: scholarly article
title: Nondegeneracy, relative differentiability, and integral representation of weak Markov systems
zbMATH Open document ID: 0818.41023
author: Friedhelm Schwenker
author: Laura Martignon
published in: Journal of Approximation Theory
publication date: 1995-08-06T00:00:00Z
review text: Let \(H(I)\) be the space of real analytic functions on the open interval \(I\subset \mathbb{R}\). Firstly, the authors give an example of a normalized weak Markov system on \(C^ \infty(I)\) which has no ``integral representation''. In the analytic case one obtains that every weak Markov system \(\{f_ 0, f_ 1,\dots, f_ n\}\subseteq H(I)\) is normalizable in a certain sense and the normalized system \(\{1, g_ 1,\dots, g_ n\}\subseteq H(I)\) forms a representable Markov system.
Mathematics Subject Classification ID: 41A50
Mathematics Subject Classification ID: 41A65
zbMATH DE Number: 701336
zbMATH Keywords: Markov system
reviewed by: Ioan Şerb
MaRDI profile type: Publication
full work available at URL: jath.1994.1131
OpenAlex ID: W1995896988
DOI: 10.1006/JATH.1994.1131
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description: scientific article; zbMATH DE number 701336