Holdings: Spectral theory of canonical systems

Spectral theory of canonical systems:

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Bibliographic Details
Main Author:	Remling, Christian (Author)
Format:	Book
Language:	English
Published:	Berlin ; Boston De Gruyter [2018]
Series:	De Gruyter studies in mathematics volume 70
Subjects:	Differentialoperator Spektraltheorie Gewöhnliche Differentialgleichung Eigenwertproblem Schrödinger-Gleichung
Online Access:	Inhaltsverzeichnis Inhaltsverzeichnis
Physical Description:	X, 194 Seiten
ISBN:	9783110562026 3110562022

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MARC


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adam_text	CONTENTS PREFACE 1 1.1 1.2 1.3 1.4 1.5 2 2.1 2.2 2.3 2.4 2.5 2.6 3 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 4 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 ----- VII BASIC DEFINITIONS * 1 CANONICAL SYSTEMS * 1 SINGULAR INTERVALS * 5 TRANSFORMATIONS * 6 THE HILBERT SPACE L?H * 9 NOTES * 10 SYMMETRIC AND SELF-ADJOINT RELATIONS * 11 THE MINIMAL AND MAXIMAL RELATIONS OF A CANONICAL SYSTEM VON NEUMANN THEORY OF SYMMETRIC RELATIONS * 19 SELF-ADJOINT REALIZATIONS OF CANONICAL SYSTEMS * 24 THE MULTI-VALUED PART * 28 MORE ON DEFICIENCY INDICES * 32 NOTES * 34 SPECTRAL REPRESENTATION * 35 SPECTRAL REPRESENTATION OF RELATIONS * 35 THE RESOLVENT AS AN INTEGRAL OPERATOR * 36 A LIMIT POINT/LIM IT CIRCLE CRITERION * 39 WEYL THEORY * 40 SPECTRAL REPRESENTATION OF CANONICAL SYSTEMS * 49 GENERAL BOUNDARY CONDITIONS * 56 TWO LIMIT POINT ENDPOINTS * 58 NOTES * 67 TRANSFER MATRICES AND DE BRANGES SPACES * 69 REVIEW OF COMPLEX ANALYSIS * 69 DE BRANGES SPACES * 72 SPECTRAL REPRESENTATION AND DE BRANGES SPACES * 76 TRANSFER MATRICES * 84 REGULAR DE BRANGES SPACES * 93 THE TYPE OF A TRANSFER MATRIX * 95 TRANSFER MATRICES AND SINGULAR INTERVALS * 97 NOTES * 103 5 INVERSE SPECTRAL THEORY * 105 5.1 INTRODUCTION ----- 105 5.2 METRICS ON CANONICAL SYSTEMS AND SPECTRAL DATA * 106 5.3 EXISTENCE OF A CANONICAL SYSTEM WITH GIVEN M FUNCTION * 112 5.4 THE ORDERING THEOREM FOR DE BRANGES SPACES * 116 5.5 EXISTENCE OF A CANONICAL SYSTEM WITH GIVEN TRANSFER MATRIX * 128 5.6 UNIQUENESS * 131 5.7 NOTES ----- 135 6 SOME APPLICATIONS * 139 6.1 GENERALIZED AND CLASSICAL MOMENT PROBLEMS AND THE NEVANLINNA PARAMETRIZATION * 139 6.2 EXISTENCE OF MOMENTS * 145 6.3 DIAGONAL CANONICAL SYSTEMS * 148 6.4 DIRAC SYSTEMS * 151 6.5 NOTES * 157 7 THE ABSOLUTELY CONTINUOUS SPECTRUM * 159 7.1 TWISTED SHIFTS AND TODA MAPS * 159 7.2 CONVERGENCE OF HERGLOTZ FUNCTIONS* 163 7.3 REFLECTIONLESS CANONICAL SYSTEMS * 171 7.4 SEMI-CONTINUITY OF R AND L AC * 174 7.5 REFLECTIONLESS LIMIT POINTS * 178 7.6 NOTES * 187 BIBLIOGRAPHY * 189 INDEX* 193
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author	Remling, Christian
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isbn	9783110562026 3110562022
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physical	X, 194 Seiten
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spelling	Remling, Christian Verfasser (DE-588)1167448308 aut Spectral theory of canonical systems Christian Remling Berlin ; Boston De Gruyter [2018] © 2018 X, 194 Seiten txt rdacontent n rdamedia nc rdacarrier De Gruyter studies in mathematics volume 70 Differentialoperator (DE-588)4012251-7 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Gewöhnliche Differentialgleichung Eigenwertproblem Schrödinger-Gleichung Spektraltheorie Differentialoperator (DE-588)4012251-7 s Spektraltheorie (DE-588)4116561-5 s DE-604 Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe, EPUB 978-3-11-056228-6 Erscheint auch als Online-Ausgabe, PDF 978-3-11-056323-8 De Gruyter studies in mathematics volume 70 (DE-604)BV000005407 70 B:DE-101 application/pdf http://d-nb.info/1161358420/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030612515&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Remling, Christian Spectral theory of canonical systems De Gruyter studies in mathematics Differentialoperator (DE-588)4012251-7 gnd Spektraltheorie (DE-588)4116561-5 gnd
subject_GND	(DE-588)4012251-7 (DE-588)4116561-5
title	Spectral theory of canonical systems
title_auth	Spectral theory of canonical systems
title_exact_search	Spectral theory of canonical systems
title_full	Spectral theory of canonical systems Christian Remling
title_fullStr	Spectral theory of canonical systems Christian Remling
title_full_unstemmed	Spectral theory of canonical systems Christian Remling
title_short	Spectral theory of canonical systems
title_sort	spectral theory of canonical systems
topic	Differentialoperator (DE-588)4012251-7 gnd Spektraltheorie (DE-588)4116561-5 gnd
topic_facet	Differentialoperator Spektraltheorie
url	http://d-nb.info/1161358420/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030612515&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000005407
work_keys_str_mv	AT remlingchristian spectraltheoryofcanonicalsystems AT walterdegruytergmbhcokg spectraltheoryofcanonicalsystems

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