Elliptic Theory and Noncommutative Geometry Nonlocal Elliptic Operators /

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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Bibliographic Details
Main Authors: Nazaikinskii, Vladimir E. (Author), Savin, Anton Yu (Author), Sternin, Boris Yu (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Basel : Birkhäuser Basel, 2008.
Series:Operator Theory: Advances and Applications, Advances in Partial Differential Equations ; 183
Subjects:
Mathematics.
Operator theory.
Operator Theory.
Online Access:Full Text via HEAL-Link
Table of Contents:
  • 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 ?.

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