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Spectral Flow A Functional Analytic and Index-Theoretic Approach
Materialtyp:
ArtikelSerie: Utgivningsinformation: Berlin/Boston De Gruyter De Gruyter [Imprint] 2023Beskrivning: 1 electronic resource (442 p.)Innehållstyp: - text
- computer
- online resource
- 9783111169897
- 9783111172477
- 9783111173085
- Mathematics and Science
- Mathematics
- Calculus and mathematical analysis
- Differential calculus and equations
- Numerical analysis
- Applied mathematics
- Bott-Maslov and Conley-Zehnder indices
- Oscillation theory Jacobi operators
- P Mathematics and Science
- PB Mathematics
- PBK Calculus and mathematical analysis
- PBKJ Differential calculus and equations
- PBKS Numerical analysis
- PBW Applied mathematics
- Self-adjoint Fredholm operators
- Variational bifurcation theory
- scattering theory
- thema EDItEUR
- theory of Fredholm pairs
- thereon Index
- topologies
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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-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory.
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eng
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