Spectral Flow
De Gruyter (Verlag)
978-3-11-116989-7 (ISBN)
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.
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.
lt;p>Nora Doll, Hermann Schulz-Baldes, FAU, Erlangen-Nürnberg, Germany Nils Waterstraat, MLU-Halle-Wittenberg, Germany
| Erscheinungsdatum | 17.05.2023 |
|---|---|
| Reihe/Serie | De Gruyter Studies in Mathematics ; 94 |
| Zusatzinfo | 4 b/w ill. |
| Verlagsort | Berlin/Boston |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Gewicht | 873 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | Bott-Maslov and Conley-Zehnder indices • Indextheorie von Fredholm-Paaren • Index theory of Fredholm pairs • Oscillation theory Jacobi operators • Oszillationstheorie für Jacobi-Operatoren und Streutheorie • scattering theory • Selbstadjungierte Fredholm-Operatoren • Self-adjoint Fredholm operators • Self-adjoint Fredholm operators, topologies thereon, Index theory of Fredholm pairs, Bott-Maslov and • Self-adjoint Fredholm operators, topologies thereon, Index theory of Fredholm pairs, Bott-Maslov and Conley-Zehnder indices, Oscillation theory Jacobi operators, scattering theory, Variational bifurcation theory • topologies thereon • Variational bifurcation theory • Variationsbifurkationstheorie |
| ISBN-10 | 3-11-116989-8 / 3111169898 |
| ISBN-13 | 978-3-11-116989-7 / 9783111169897 |
| Zustand | Neuware |
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