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Spectral Flow

A Functional Analytic and Index-Theoretic Approach
Buch | Hardcover
XVIII, 442 Seiten
2023
De Gruyter (Verlag)
978-3-11-116989-7 (ISBN)
CHF 179,95 inkl. MwSt
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lt;p>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.


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
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
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