Buch, Englisch, 224 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 530 g
Nonlocal Elliptic Operators
Buch, Englisch, 224 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 530 g
Reihe: Advances in Partial Differential Equations
ISBN: 978-3-7643-8774-7
Verlag: Springer
This comprehensive yet concise 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. This is the first book featuring a consistent application of methods of noncommutative geometry to the index problem in the theory of nonlocal elliptic operators. To make the book self-contained, the authors have included necessary geometric material.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
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 ?.
