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Catalogue Information
Field name	Details
Dewey Class	515.724
Title	Elliptic Theory and Noncommutative Geometry ([Ebook]) : Nonlocal Elliptic Operators / by Vladimir E. Nazaikinskii, Anton Yu. Savin, Boris Yu. Sternin.
Author	Nazaikinskii, Vladimir E.
Added Personal Name	Sternin, Boris Ju. , 1939-
Added Personal Name	Sternin, Boris Yu
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 2008.
Physical Details	: online resource.
Series	Operator Theory: Advances and Applications, Advances in Partial Differential Equations ; 183
ISBN	9783764387754
Summary Note	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 such elliptic operators to topological invariants of the manifold itself. This problem can be solved by modern methods of noncommutative geometry. This is the first and so far the only book featuring a consistent application of methods of noncommutative geometry to the index problem in the theory of nonlocal elliptic operators. Although the book provides important results, which are in a sense definitive, on the above-mentioned topic, it contains all the necessary preliminary material, such as C*-algebras and their K-theory or cyclic homology. Thus the material is accessible for undergraduate students of mathematics (third year and beyond). It is also undoubtedly of interest for post-graduate students and scientists specializing in geometry, the theory of differential equations, functional analysis, etc. The book can serve as a good introduction to noncommutative geometry, which is one of the most powerful modern tools for studying a wide range of problems in mathematics and theoretical physics.:
System details note	Online access to this digital book is restricted to susbcription institutions through IP address (only for SISSA users)
Internet Site	http://dx.doi.org/10.1007/978-3-7643-8775-4
Links to Related Works	Subject References: Mathematics . Operator Theory . Authors: author . Nazaikinskii, Vladimir E. . Sternin, Boris Ju. 1939- . Sternin, Boris Yu . See Also: Sternin, B. Ju. (Boris Yu.) . Sternine, Boris Iourievitch, 1939- . Стернин, Борис Юрьевич 1939- . Corporate Authors: SpringerLink (Online service) . Series: Operator Theory: Advances and Applications, Advances in Partial Differential Equations . Classification: 515.724 .

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Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators

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