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KlappentextFuchs type differential operators are used to model the analysis on manifolds with cone-like singularities, or more general, stratified spaces. This book provides a self-contained treatment of the analysis of the heat equation and index theory for theses operators. Major topics are shorttime asymptotics, h-and V-functions, (relative) index theorems. Another chapter is devoted to the discussion of deficiency indices and Dirac Schrödinger operators. Contents Introduction I. Differential Operators of Fuchs Type II. Asymptotic Expansions III. Relative Index Theory IV. Deficiency Indices and Dirac-Schrödinger-Operators V. eta-Functions Bibliography - Index - List of Symbols
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Operators of Fuchs type, conical singularities, and asymptotic methods, Matthias Lesch
- Sprache
- Erscheinungsdatum
- 1997
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- Titel
- Operators of Fuchs type, conical singularities, and asymptotic methods
- Sprache
- Englisch
- Autor*innen
- Matthias Lesch
- Verlag
- Teubner
- Erscheinungsdatum
- 1997
- ISBN10
- 3815420970
- ISBN13
- 9783815420973
- Kategorie
- Skripten & Universitätslehrbücher
- Beschreibung
- KlappentextFuchs type differential operators are used to model the analysis on manifolds with cone-like singularities, or more general, stratified spaces. This book provides a self-contained treatment of the analysis of the heat equation and index theory for theses operators. Major topics are shorttime asymptotics, h-and V-functions, (relative) index theorems. Another chapter is devoted to the discussion of deficiency indices and Dirac Schrödinger operators. Contents Introduction I. Differential Operators of Fuchs Type II. Asymptotic Expansions III. Relative Index Theory IV. Deficiency Indices and Dirac-Schrödinger-Operators V. eta-Functions Bibliography - Index - List of Symbols