Spectral Flow A Functional Analytic and Index-Theoretic Approach
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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| Other Authors: | , |
| Format: | Electronic Book Chapter |
| Language: | English |
| Published: |
Berlin/Boston
De Gruyter
2023
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| Series: | De Gruyter Studies in Mathematics
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| Subjects: | |
| Online Access: | DOAB: download the publication DOAB: description of the publication |
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| 700 | 1 | |a Schulz-Baldes, Hermann |4 auth | |
| 700 | 1 | |a Waterstraat, Nils |4 auth | |
| 245 | 1 | 0 | |a Spectral Flow |b A Functional Analytic and Index-Theoretic Approach |
| 260 | |a Berlin/Boston |b De Gruyter |c 2023 | ||
| 300 | |a 1 electronic resource (442 p.) | ||
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| 490 | 1 | |a De Gruyter Studies in Mathematics | |
| 506 | 0 | |a Open Access |2 star |f Unrestricted online access | |
| 520 | |a 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. | ||
| 540 | |a Creative Commons |f https://creativecommons.org/licenses/by-nc-nd/4.0/ |2 cc |4 https://creativecommons.org/licenses/by-nc-nd/4.0/ | ||
| 546 | |a English | ||
| 650 | 7 | |a Differential calculus & equations |2 bicssc | |
| 650 | 7 | |a Numerical analysis |2 bicssc | |
| 650 | 7 | |a Applied mathematics |2 bicssc | |
| 653 | |a Self-adjoint Fredholm operators | ||
| 653 | |a topologies | ||
| 653 | |a thereon Index | ||
| 653 | |a theory of Fredholm pairs | ||
| 653 | |a Bott-Maslov and Conley-Zehnder indices | ||
| 653 | |a Oscillation theory Jacobi operators | ||
| 653 | |a scattering theory | ||
| 653 | |a Variational bifurcation theory | ||
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| 856 | 4 | 0 | |a www.oapen.org |u https://directory.doabooks.org/handle/20.500.12854/101580 |7 0 |z DOAB: description of the publication |