9783111172477.pdf
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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De Gruyter
2023
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| Διαθέσιμο Online: | https://www.degruyter.com/isbn/9783111172477 |
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oapen-20.500.12657-63798 |
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oapen-20.500.12657-637982023-07-05T02:48:20Z 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 bic Book Industry Communication::P Mathematics & science::PB Mathematics::PBK Calculus & mathematical analysis::PBKJ Differential calculus & equations bic Book Industry Communication::P Mathematics & science::PB Mathematics::PBK Calculus & mathematical analysis::PBKS Numerical analysis bic Book Industry Communication::P Mathematics & 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. 2023-07-04T15:56:56Z 2023-07-04T15:56:56Z 2023 book ONIX_20230704_9783111172477_34 0179-0986 9783111172477 9783111169897 9783111173085 https://library.oapen.org/handle/20.500.12657/63798 eng De Gruyter Studies in Mathematics application/pdf Attribution-NonCommercial-NoDerivatives 4.0 International 9783111172477.pdf https://www.degruyter.com/isbn/9783111172477 De Gruyter De Gruyter 10.1515/9783111172477 10.1515/9783111172477 2b386f62-fc18-4108-bcf1-ade3ed4cf2f3 9783111172477 9783111169897 9783111173085 De Gruyter 94 442 Berlin/Boston open access |
| institution |
OAPEN |
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DSpace |
| language |
English |
| 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. |
| title |
9783111172477.pdf |
| spellingShingle |
9783111172477.pdf |
| title_short |
9783111172477.pdf |
| title_full |
9783111172477.pdf |
| title_fullStr |
9783111172477.pdf |
| title_full_unstemmed |
9783111172477.pdf |
| title_sort |
9783111172477.pdf |
| publisher |
De Gruyter |
| publishDate |
2023 |
| url |
https://www.degruyter.com/isbn/9783111172477 |
| _version_ |
1771297508047192064 |
