Kooperativer Bibliotheksverbund

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Umfang: 1 online resource (460 pages)

Ausgabe: 1st ed.

ISBN: 9783111172477 , 3111172473

Serie: De Gruyter Studies in Mathematics Series ; v.94

Inhalt: The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel. The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods, and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.

Anmerkung: Intro -- Preface -- Acknowledgment -- Contents -- 1 Spectral flow in finite dimension -- 2 Applications of finite-dimensional spectral flow -- 3 Bounded Fredholm operators -- 4 Spectral flow for bounded self-adjoint Fredholm operators -- 5 Fredholm pairs and their index -- 6 Unbounded Fredholm operators -- 7 Spectral flow for unbounded self-adjoint Fredholm operators -- 8 Homotopy theory of Fredholm operators -- 9 Bott-Maslov index via spectral flow -- 10 Index pairings and spectral localizer -- 11 Spectral flow in semifinite von Neumann algebras -- 12 Spectral flow in bifurcation theory -- A Collection of technical elements -- Acronyms and notations -- Bibliography -- Index.

Weitere Ausg.: ISBN 9783111169897

Weitere Ausg.: ISBN 3111169898

Sprache: Englisch

Schlagwort(e): Electronic books. ; Electronic books.

URL: Click to View

URL: Click here to view book

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Umfang: 1 Online-Ressource

ISBN: 9783111172477 , 9783111173085

Serie: De Gruyter studies in mathematics volume 94

Anmerkung: Erscheint als Open Access bei De Gruyter

Weitere Ausg.: Erscheint auch als Druck-Ausgabe ISBN 978-3-11-116989-7

Sprache: Englisch

DOI: 10.1515/9783111172477

URL: Volltext  (kostenfrei)

URL: Volltext  (kostenfrei)

URL: Inhaltsverzeichnis

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Umfang: 1 online resource (xvii, 440 pages) : , illustrations.

ISBN: 3-11-117247-3

Serie: De Gruyter studies in mathematics, ; 94

Inhalt: "This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understood in a semifinite sense. The importance of spectral flow for homotopy and index theory is discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory"--

Anmerkung: Spectral flow in finite dimension -- Applications of finite-dimensional spectral flow -- Bounded Fredholm operators -- Spectral flow for bounded self-adjoint Fredholm operators -- Fredholm pairs and their index -- Unbounded Fredholm operators -- Spectral flow for unbounded self-adjoint Fredholm operators -- Homotopy theory of Fredholm operators -- Bott-Maslov index via spectral flow -- Index pairings and spectral localizer -- Spectral flow in semifinite von Neumann algebras -- Spectral flow in bifurcation theory -- Collection of technical elements.

Weitere Ausg.: ISBN 9783111169897

Sprache: Englisch

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Umfang: XVII, 440 Seiten , 24 cm x 17 cm

ISBN: 9783111169897 , 3111169898

Serie: De Gruyter Studies in Mathematics volume 94

Inhalt: Publisher’s description: This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understood in a semifinite sense. The importance of spectral flow for homotopy and index theory is discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory. *Presents a self-contained functional analytic treatment of spectral flow. *Includes a detailed analysis of the homotopy theory of the set of unbounded selfadjoint Fredholm operators. *Provides an analysis of Bott-Maslov index via spectral flow

Anmerkung: Literaturverzeichnis: Seite 431-438

Weitere Ausg.: ISBN 9783111172477

Weitere Ausg.: ISBN 9783111173085

Sprache: Englisch

Schlagwort(e): Spektrum ; Fredholm-Operator ; Zeitabhängigkeit ; Indextheorem ; Maslov-Index ; Homotopietheorie ; Verzweigung

URL: Inhaltsverzeichnis

URL: Unbekannt

URL: Review

URL: https://www.degruyter.com/isbn/9783111169897

URL: https://d-nb.info/1283839326/04

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Umfang: 1 Online-Ressource (XVIII, 442 p.)

Ausgabe: Reproduktion Issued also in print

ISBN: 9783111172477

Serie: De Gruyter Studies in Mathematics 94

Inhalt: "This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understood in a semifinite sense. The importance of spectral flow for homotopy and index theory is discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory"--

Anmerkung: Frontmatter , Preface , Acknowledgment , Contents , 1 Spectral flow in finite dimension , 2 Applications of finite-dimensional spectral flow , 3 Bounded Fredholm operators , 4 Spectral flow for bounded self-adjoint Fredholm operators , 5 Fredholm pairs and their index , 6 Unbounded Fredholm operators , 7 Spectral flow for unbounded self-adjoint Fredholm operators , 8 Homotopy theory of Fredholm operators , 9 Bott–Maslov index via spectral flow , 10 Index pairings and spectral localizer , 11 Spectral flow in semifinite von Neumann algebras , 12 Spectral flow in bifurcation theory , A Collection of technical elements , Acronyms and notations , Bibliography , Index , Issued also in print , In English

Weitere Ausg.: ISBN 9783111173085

Weitere Ausg.: ISBN 9783111169897

Weitere Ausg.: Erscheint auch als print ISBN 9783111169897

Sprache: Englisch

DOI: 10.1515/9783111172477

URL: kostenfrei

URL: kostenfrei

URL: kostenfrei

URL: Cover

URL: Cover

UID:

Umfang: 1 Online-Ressource (442 p.)

ISBN: 9783111172477 , 9783111169897 , 9783111173085

Serie: De Gruyter Studies in Mathematics

Inhalt: This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understood in a semi finite sense. The importance of spectral flow for homotopy and index theory are discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory

Anmerkung: English

Sprache: Unbestimmte Sprache

URL: kostenfrei

UID:

Umfang: 1 online resource (460 pages)

Ausgabe: 1st ed.

ISBN: 9783111172477

Serie: De Gruyter Studies in Mathematics Series v.94

Inhalt: The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel. The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods, and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.

Inhalt: Intro -- Preface -- Acknowledgment -- Contents -- 1 Spectral flow in finite dimension -- 2 Applications of finite-dimensional spectral flow -- 3 Bounded Fredholm operators -- 4 Spectral flow for bounded self-adjoint Fredholm operators -- 5 Fredholm pairs and their index -- 6 Unbounded Fredholm operators -- 7 Spectral flow for unbounded self-adjoint Fredholm operators -- 8 Homotopy theory of Fredholm operators -- 9 Bott-Maslov index via spectral flow -- 10 Index pairings and spectral localizer -- 11 Spectral flow in semifinite von Neumann algebras -- 12 Spectral flow in bifurcation theory -- A Collection of technical elements -- Acronyms and notations -- Bibliography -- Index.

Inhalt: "This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understood in a semifinite sense. The importance of spectral flow for homotopy and index theory is discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory"--

Anmerkung: Description based on publisher supplied metadata and other sources

Sprache: Englisch

URL: lizenzpflichtig

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ISBN: 3-11-117247-3

Weitere Ausg.: ISBN 3-11-116989-8

Sprache: Englisch

UID:

ISBN: 3-11-117247-3

Weitere Ausg.: ISBN 3-11-116989-8

Sprache: Englisch