Spectral Flow
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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| Huvudupphov: | , , |
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| Materialtyp: | Online |
| Språk: | engelska |
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De Gruyter
2023
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| Länkar: | ONIX_20230704_9783111172477_34 |
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| _version_ | 1869519255012114432 |
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| author | Doll, Nora Schulz-Baldes, Hermann Waterstraat, Nils |
| author_browse | Doll, Nora Schulz-Baldes, Hermann Waterstraat, Nils |
| author_facet | Doll, Nora Schulz-Baldes, Hermann Waterstraat, Nils |
| author_sort | Doll, Nora |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-101580 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | De Gruyter |
| publisherStr | De Gruyter |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1015802025-07-17T10:01:12Z Spectral Flow Doll, Nora Schulz-Baldes, Hermann Waterstraat, Nils 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 thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics 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. 2023-07-19T07:08:46Z 2023-07-19T07:08:46Z 2023-07-04T15:56:56Z 2023 book ONIX_20230704_9783111172477_34 0179-0986 https://library.oapen.org/handle/20.500.12657/63798 9783111172477 9783111169897 9783111173085 https://directory.doabooks.org/handle/20.500.12854/101580 eng De Gruyter Studies in Mathematics open access image/jpeg image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International https://library.oapen.org/bitstream/20.500.12657/63798/1/9783111172477.pdf https://library.oapen.org/bitstream/20.500.12657/63798/1/9783111172477.pdf De Gruyter De Gruyter 10.1515/9783111172477 10.1515/9783111172477 af2fbfcc-ee87-43d8-a035-afb9d7eef6a5 9783111172477 9783111169897 9783111173085 De Gruyter 442 Berlin/Boston open access |
| spellingShingle | 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 thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics Doll, Nora Schulz-Baldes, Hermann Waterstraat, Nils Spectral Flow |
| title | Spectral Flow |
| title_full | Spectral Flow |
| title_fullStr | Spectral Flow |
| title_full_unstemmed | Spectral Flow |
| title_short | Spectral Flow |
| title_sort | spectral flow |
| topic | 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 thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics |
| topic_facet | 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 thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics |
| url | ONIX_20230704_9783111172477_34 |
| work_keys_str_mv | AT dollnora spectralflow AT schulzbaldeshermann spectralflow AT waterstraatnils spectralflow |