Overview
- Authors:
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Bernhelm Booß-Bavnbek
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IMFUFA, Roskilde University, Roskilde, Denmark
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Krzysztof P. Wojciechowski
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Department of Mathematics, IUPUI, Indianapolis, USA
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Table of contents (26 chapters)
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Front Matter
Pages i-xviii
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Clifford Algebras and Dirac Operators
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 3-9
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 10-18
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 19-25
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 26-28
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 29-35
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 36-39
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 40-42
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 43-49
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 50-58
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 59-63
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Analytical and Topological Tools
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 67-74
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 75-94
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 95-104
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 105-110
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 111-126
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 127-137
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- Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
Pages 138-160
About this book
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.