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Mathematics Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators (Operator Theory: Advances and Applications / Advances in Partial Differential Equations)

Posted on 2010-04-28




Name:Mathematics Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators (Operator Theory: Advances and Applications / Advances in Partial Differential Equations)
ASIN/ISBN:3764387742
Author:Vladimir E. Nazaikinskii, Anton Yu. Savin, Boris Yu. Sternin
Publisher:Birkh?user Basel (2008)
Pages:Hardcover, 224 pages
File size:4.78 Mb
   Mathematics Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators (Operator Theory: Advances and Applications / Advances in Partial Differential Equations)


Author: Vladimir E. Nazaikinskii, Anton Yu. Savin, Boris Yu. Sternin


Publisher: Birkh?user Basel (2008)


Binding: Hardcover, 224 pages


pricer: $119.00


ISBN-10: 3764387742


editorialreviews

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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