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Spectral Flow: A Functional Analytic and Index-Theoretic Approach (De Gruyter Studies in Mathematics, 94) - Hardcover
Synopsis
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 semifinite sense. The importance of spectral flow for homotopy and index theory is discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory.
- Presents a self-contained functional analytic treatment of spectral flow
- Includes a detailed analysis of the homotopy theory of the set of unbounded selfadjoint Fredholm operators
- Provides an analysis of Bott-Maslov index via spectral flow
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About the Author
Nora Doll and Hermann Schulz-Baldes, FAU, Erlangen-Nürnberg, Germany; Nils Waterstraat, MLU-Halle-Wittenberg, Germany.
From the Back Cover
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.
"About this title" may belong to another edition of this title.
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Spectral Flow
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 semifinite sense. The importance of spectral flow for homotopy and index theory is discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory. 460 pp. Englisch. Seller Inventory # 9783111169897
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Hardback. Condition: New. 1st. 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 semifinite sense. The importance of spectral flow for homotopy and index theory is discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory. Seller Inventory # LU-9783111169897
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Spectral Flow
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