Spectral Flow A Functional Analytic and Index-Theoretic Approach

Spectral Flow A Functional Analytic and Index-Theoretic Approach

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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-i...

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Bibliographic Details
Main Author: Doll, Nora (auth)
Other Authors: Schulz-Baldes, Hermann (auth), Waterstraat, Nils (auth)
Format: Electronic Book Chapter
Language:English
Published: Berlin/Boston De Gruyter 2023
Series:De Gruyter Studies in Mathematics
Subjects:
Differential calculus & equations
Numerical analysis
Applied mathematics
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
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Summary: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.
Physical Description:1 electronic resource (442 p.)
ISBN:9783111172477
9783111169897
9783111173085
Access:Open Access

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