| |  Online-Ressource |
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| Verfasst von: | Doll, Nora [VerfasserIn]  |
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| | Schulz-Baldes, Hermann [VerfasserIn] |
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| | Waterstraat, Nils [VerfasserIn] |
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| Titel: | Spectral Flow |
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| Titelzusatz: | A Functional Analytic and Index-Theoretic Approach |
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| Verf.angabe: | Nora Doll, Hermann Schulz-Baldes, Nils Waterstraat |
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| Verlagsort: | Berlin ; Boston |
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| Verlag: | De Gruyter |
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| Jahr: | 2023 |
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| Umfang: | 1 Online-Ressource (XVIII, 442 p.) |
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| Gesamttitel/Reihe: | De Gruyter Studies in Mathematics ; 94 |
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| Schrift/Sprache: | In English |
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| Ang. zum Inhalt: | Frontmatter |
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| | Preface |
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| | Acknowledgment |
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| | Contents |
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| | 1 Spectral flow in finite dimension |
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| | 2 Applications of finite-dimensional spectral flow |
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| | 3 Bounded Fredholm operators |
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| | 4 Spectral flow for bounded self-adjoint Fredholm operators |
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| | 5 Fredholm pairs and their index |
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| | 6 Unbounded Fredholm operators |
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| | 7 Spectral flow for unbounded self-adjoint Fredholm operators |
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| | 8 Homotopy theory of Fredholm operators |
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| | 9 Bott–Maslov index via spectral flow |
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| | 10 Index pairings and spectral localizer |
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| | 11 Spectral flow in semifinite von Neumann algebras |
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| | 12 Spectral flow in bifurcation theory |
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| | A Collection of technical elements |
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| | Acronyms and notations |
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| | Bibliography |
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| | Index |
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| ISBN: | 978-3-11-117247-7 |
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| Abstract: | 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 |
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| DOI: | doi:10.1515/9783111172477 |
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| URL: | kostenfrei: Resolving-System: https://doi.org/10.1515/9783111172477 |
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| | kostenfrei: Verlag: https://www.degruyter.com/isbn/9783111172477 |
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| | Cover: https://www.degruyter.com/document/cover/isbn/9783111172477/original |
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| | DOI: https://doi.org/10.1515/9783111172477 |
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| Datenträger: | Online-Ressource |
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| Sprache: | eng |
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| (Sekundärform): | Issued also in print |
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| Bibliogr. Hinweis: | Erscheint auch als : print |
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| Sach-SW: | MATHEMATICS / Differential Equations / General |
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| K10plus-PPN: | 1858284945 |
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| Lokale URL UB: |  Zum Volltext |
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