Sinossi
Elliptic boundary problems have enjoyed interest recently, espe cially among C* -algebraists and mathematical physicists who want to understand single aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary.
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Contenuti
I. Clifford Algebras and Dirac Operators.- 1. Clifford Algebras and Clifford Modules.- 2. Clifford Bundles and Compatible Connections.- 3. Dirac Operators.- 4. Dirac Laplacian and Connection Laplacian.- 5. Euclidean Examples.- 6. The Classical Dirac (Atiyah-Singer) Operators on Spin Manifolds.- 7. Dirac Operators and Chirality.- 8. Unique Continuation Property for Dirac Operators.- 9. Invertible Doubles.- 10. Glueing Constructions. Relative Index Theorem.- II. Analytical and Topological Tools.- 11. Sobolev Spaces on Manifolds with Boundary.- 12. Calderón Projector for Dirac Operators.- 13. Existence of Traces of Null Space Elements.- 14. Spectral Projections of Dirac Operators.- 15. Pseudo-Differential Grassmannians.- 16. The Homotopy Groups of the Space of Self-Adjoint Fredholm Operators.- 17. The Spectral Flow of Families of Self-Adjoint Operators.- III. Applications.- 18. Elliptic Boundary Problems and Pseudo-Differential Projections.- 19. Regularity of Solutions of Elliptic Boundary Problems.- 20. Fredholm Property of the Operator AR.- 21. Exchanges on the Boundary: Agranovi?-Dynin Type Formulas and the Cobordism Theorem for Dirac Operators.- 22. The Index Theorem for Atiyah-Patodi-Singer Problems.- 23. Some Remarks on the Index of Generalized Atiyah-Patodi-Singer Problems.- 24. Bojarski’s Theorem. General Linear Conjugation Problems.- 25. Cutting and Pasting of Elliptic Operators.- 26. Dirac Operators on the Two-Sphere.
Product Description
Book by BooBavnbek Bernhelm Wojciechhowski Krzysztof P
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Elliptic Boundary Problems for Dirac Operators. (=Mathematics: Theory & Applications)
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hardcover. Condizione: Very Good. Hardcover; no dust jacket. Very good condition; corners square, binding is strong. Title and copyright page dated 1993. 307 pages. Pages are free of any writing or markings. This description is written by a real person, who is holding the book in front of them to make sure it's properly described. Please send us an email if you have questions or would like to request photos. Codice articolo F-9413
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Elliptic Boundary Problems for Dirac Operators (Mathematics: Theory & Applications)
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Elliptic Boundary Problems for Dirac Operators
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Elliptic boundary problems have enjoyed interest recently, espe cially among C\* -algebraists and mathematical physicists who want to understand single aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary. However, the theory of elliptic boundary problems by far has not achieved the same status as the theory of elliptic operators on closed (compact, without boundary) manifolds. The latter is nowadays rec ognized by many as a mathematical work of art and a very useful technical tool with applications to a multitude of mathematical con texts. Therefore, the theory of elliptic operators on closed manifolds is well-known not only to a small group of specialists in partial dif ferential equations, but also to a broad range of researchers who have specialized in other mathematical topics. Why is the theory of elliptic boundary problems, compared to that on closed manifolds, still lagging behind in popularity Admittedly, from an analytical point of view, it is a jigsaw puzzle which has more pieces than does the elliptic theory on closed manifolds. But that is not the only reason. 328 pp. Englisch. Codice articolo 9780817636814
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Elliptic Boundary Problems for Dirac Operators
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Birkhäuser, Birkhäuser Dez 1993, 1993
ISBN 10: 0817636811
ISBN 13: 9780817636814
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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Elliptic boundary problems have enjoyed interest recently, espe cially among C\* -algebraists and mathematical physicists who want to understand single aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary. However, the theory of elliptic boundary problems by far has not achieved the same status as the theory of elliptic operators on closed (compact, without boundary) manifolds. The latter is nowadays rec ognized by many as a mathematical work of art and a very useful technical tool with applications to a multitude of mathematical con texts. Therefore, the theory of elliptic operators on closed manifolds is well-known not only to a small group of specialists in partial dif ferential equations, but also to a broad range of researchers who have specialized in other mathematical topics. Why is the theory of elliptic boundary problems, compared to that on closed manifolds, still lagging behind in popularity Admittedly, from an analytical point of view, it is a jigsaw puzzle which has more pieces than does the elliptic theory on closed manifolds. But that is not the only reason.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 328 pp. Englisch. Codice articolo 9780817636814
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