Elliptic Theory and Noncommutative Geometry : Nonlocal Elliptic Operators
This comprehensive yet concise book deals with nonlocal elliptic differential operators, whose coefficients involve shifts generated by diffeomorophisms 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 suc...
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| Hlavní autoři: | , , , , |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2008. |
| Edice: | Advances in Partial Differential Equations
183 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
L'impression du document génère 226 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Elliptic theory and noncommutative geometry, Vladimir E. Nazaikinskii, Anton Yu. Savin, Boris Yu. Sternin, 2008, Basel, Birkhauser, 1 vol. (XII-224 p.), Operator theory, 3-7643-8774-2 • Elliptic Theory and Noncommutative Geometry, Texte imprimé, 9783764398323 • Elliptic theory and noncommutative geometry, Vladimir E. Nazaikinskii, Anton Yu. Savin, Boris Yu. Sternin, 2008, Basel, Birkhauser, 1 vol. (XII-224 p.), Operator theory, 3-7643-8774-2 |
Obsah:
- Analysis of Nonlocal Elliptic Operators Nonlocal Functions and Bundles Nonlocal Elliptic Operators Elliptic Operators over C*-Algebras Homotopy Invariants of Nonlocal Elliptic Operators Homotopy Classification Analytic Invariants Bott Periodicity Direct Image and Index Formulas in K-Theory Chern Character Cohomological Index Formula Cohomological Formula for the ?-Index Index of Nonlocal Operators over C*-Algebras Examples Index Formula on the Noncommutative Torus An Application of Higher Traces Index Formula for a Finite Group ?.