On linear combinations of positive functions, associated reproducing kernel spaces and a non Hermitian Schur algorithm
type: Item
instance of: scholarly article
title: On linear combinations of positive functions, associated reproducing kernel spaces and a non Hermitian Schur algorithm
zbMATH Open document ID: 0761.46014
DOI: 10.1007/BF01191883
author: Daniel Alpay
published in: Archiv der Mathematik
publication date: 1993-04-01T00:00:00Z
review text: The surjective correspondence between difference of positive functions and reproducing kernel Krein spaces (due to L. Schwartz) is extended to a surjective correspondence between linear combinations of positive functions and reproducing kernel Hilbert spaces of pairs. As an application we present a framework for a non hermitian Schur algorithm.
reviewed by: Daniel Alpay
Mathematics Subject Classification ID: 46E22
Mathematics Subject Classification ID: 47A57
zbMATH DE Number: 147511
zbMATH Keywords: surjective correspondence
zbMATH Keywords: difference of positive functions
zbMATH Keywords: reproducing kernel Krein spaces
zbMATH Keywords: linear combinations of positive functions
zbMATH Keywords: reproducing kernel Hilbert spaces of pairs
zbMATH Keywords: non hermitian Schur algorithm
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01191883
OpenAlex ID: W2066364939
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description: scientific article; zbMATH DE number 147511