Schrödinger operators and de Branges spaces.
type: Item
instance of: scholarly article
title: Schrödinger operators and de Branges spaces.
zbMATH Open document ID: 1054.34019
DOI: 10.1016/S0022-1236(02)00007-1
published in: Journal of Functional Analysis
publication date: 2003-03-26T00:00:00Z
review text: The author gives a new view on the inverse spectral theory of one-dimensional Schrödinger operators by recognizing it as a part of the de Branges theory of Hilbert spaces of entire functions. The de Branges theorem on the connection between a regular de Branges space and canonical systems is considered as the mother of many inverse theorems.
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 46E22
zbMATH DE Number: 1888374
zbMATH Keywords: de Branges space
zbMATH Keywords: Schrödinger operator
zbMATH Keywords: spectral representation
zbMATH Keywords: inverse spectral theory
author: Christian Remling
reviewed by: V. Pivovarchik
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1888374