Elliptic Theory and Noncommutative Geometry : Nonlocal Elliptic Operators
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The work Elliptic Theory and Noncommutative Geometry : Nonlocal Elliptic Operators represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Elliptic Theory and Noncommutative Geometry : Nonlocal Elliptic Operators
Resource Information
The work Elliptic Theory and Noncommutative Geometry : Nonlocal Elliptic Operators represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Elliptic Theory and Noncommutative Geometry : Nonlocal Elliptic Operators
 Title remainder
 Nonlocal Elliptic Operators
 Statement of responsibility
 by Vladimir E. Nazaykinskiy, A. Yu. Savin, B. Yu. Sternin
 Language

 eng
 eng
 Summary
 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 abovementioned topic, it contains all the necessary preliminary material, such as C*algebras and their Ktheory or cyclic homology. Thus the material is accessible for undergraduate students of mathematics (third year and beyond). It is also undoubtedly of interest for postgraduate 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
 Dewey number
 515.7242
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 Q0GpKNUm1B0
 KpFAoZNsbo
 bAsXtJq43ss
 Language note
 English
 LC call number
 QA329329.9
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Advances in Partial Differential Equations,
 Series volume
 183
Context
Context of Elliptic Theory and Noncommutative Geometry : Nonlocal Elliptic OperatorsWork of
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 Elliptic Theory and Noncommutative Geometry : Nonlocal Elliptic Operators, by Vladimir E. Nazaykinskiy, A. Yu. Savin, B. Yu. Sternin, (electronic resource)
 Elliptic Theory and Noncommutative Geometry : Nonlocal Elliptic Operators, by Vladimir E. Nazaykinskiy, A. Yu. Savin, B. Yu. Sternin, (electronic resource)
 Elliptic Theory and Noncommutative Geometry : Nonlocal Elliptic Operators, by Vladimir E. Nazaykinskiy, A. Yu. Savin, B. Yu. Sternin, (electronic resource)
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