Spectral Flow
A Functional Analytic and Index-Theoretic Approach
| dc.contributor.author | Doll, Nora | |
| dc.contributor.author | Schulz-Baldes, Hermann | |
| dc.contributor.author | Waterstraat, Nils | |
| dc.date.accessioned | 2023-07-04T15:56:56Z | |
| dc.date.available | 2023-07-04T15:56:56Z | |
| dc.date.issued | 2023 | |
| dc.identifier | ONIX_20230704_9783111172477_34 | |
| dc.identifier.issn | 0179-0986 | |
| dc.identifier.uri | https://library.oapen.org/handle/20.500.12657/63798 | |
| dc.description.abstract | 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. | |
| dc.language | English | |
| dc.relation.ispartofseries | De Gruyter Studies in Mathematics | |
| dc.subject.classification | thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations | en_US |
| dc.subject.classification | thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis | en_US |
| dc.subject.classification | thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics | en_US |
| dc.subject.other | Self-adjoint Fredholm operators | |
| dc.subject.other | topologies | |
| dc.subject.other | thereon Index | |
| dc.subject.other | theory of Fredholm pairs | |
| dc.subject.other | Bott-Maslov and Conley-Zehnder indices | |
| dc.subject.other | Oscillation theory Jacobi operators | |
| dc.subject.other | scattering theory | |
| dc.subject.other | Variational bifurcation theory | |
| dc.title | Spectral Flow | |
| dc.title.alternative | A Functional Analytic and Index-Theoretic Approach | |
| dc.type | book | |
| oapen.identifier.doi | 10.1515/9783111172477 | |
| oapen.relation.isPublishedBy | 2b386f62-fc18-4108-bcf1-ade3ed4cf2f3 | |
| oapen.relation.isbn | 9783111172477 | |
| oapen.relation.isbn | 9783111169897 | |
| oapen.relation.isbn | 9783111173085 | |
| oapen.imprint | De Gruyter | |
| oapen.series.number | 94 | |
| oapen.pages | 442 | |
| oapen.place.publication | Berlin/Boston |
