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Elliptic theory and noncommutative geometry : nonlocal elliptic operators /
The book deals with nonlocal elliptic differential operators. These are operators whose coefficients involve shifts generated by diffeomorphisms of the manifold on which the operators are defined. The main goal of the study is to relate analytical invariants (in particular, the index) of such operat...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel ; Boston :
Birkhäuser,
©2008.
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| Colección: | Operator theory, advances and applications ;
v. 183. Operator theory, advances and applications. Advances in partial differential equations. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | The book deals with nonlocal elliptic differential operators. These are operators whose coefficients involve shifts generated by diffeomorphisms of the manifold on which the operators are defined. The main goal of the study is to relate analytical invariants (in particular, the index) of such operators to topological invariants of the manifold itself. This problem can be solved by modern methods of noncommutative geometry. To make the book self-contained, the authors have included necessary geometric material (C*-algebras and their K-theory, cyclic homology, etc.). |
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| Descripción Física: | 1 online resource (xii, 224 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 217-221) and index. |
| ISBN: | 9783764387754 3764387750 |