TY  - BOOK
AU  - Doll,Nora
AU  - Schulz-Baldes,Hermann
AU  - Waterstraat,Nils
TI  - Spectral Flow: A Functional Analytic and Index-Theoretic Approach
T2  - De Gruyter Studies in Mathematics
SN  - 9783111169897
PY  - 2023///
CY  - Berlin/Boston
PB  - De Gruyter
KW  - Applied mathematics
KW  - bicssc
KW  - Differential calculus & equations
KW  - Numerical analysis
KW  - Bott-Maslov and Conley-Zehnder indices
KW  - Oscillation theory Jacobi operators
KW  - scattering theory
KW  - Self-adjoint Fredholm operators
KW  - theory of Fredholm pairs
KW  - thereon Index
KW  - topologies
KW  - Variational bifurcation theory
N1  - Open Access
N2  - 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
UR  - https://library.oapen.org/bitstream/id/7572019a-9110-4e53-9e13-ff5114dd6825/9783111172477.pdf
UR  - https://library.oapen.org/handle/20.500.12657/63798
ER  -