Overview
- 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
- Provides important results, which are in a sense definitive, on the above-mentioned topic and at the same time contains all the necessary preliminary material, thus being effectively self-contained
- Not only comprehensive but also rather concise, which makes it even more of an attraction for readers at any level
- Can serve as a concise introduction to noncommutative geometry, which is one of the most powerful tools for studying a wide range of problems in mathematics and theoretical physics
- Includes supplementary material: sn.pub/extras
Part of the book series: Operator Theory: Advances and Applications (OT, volume 183)
Part of the book sub series: Advances in Partial Differential Equations (APDE)
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Table of contents(15 chapters)
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Introduction
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Analysis of Nonlocal Elliptic Operators
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Homotopy Invariants of Nonlocal Elliptic Operators
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Examples
About this book
Authors and Affiliations
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Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia
Vladimir E. Nazaikinskii
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Independent University of Moscow, Moscow, Russia
Anton Yu. Savin, Boris Yu. Sternin
Bibliographic Information
Book Title: Elliptic Theory and Noncommutative Geometry
Book Subtitle: Nonlocal Elliptic Operators
Authors: Vladimir E. Nazaikinskii, Anton Yu. Savin, Boris Yu. Sternin
Series Title: Operator Theory: Advances and Applications
DOI: https://doi.org/10.1007/978-3-7643-8775-4
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2008
Hardcover ISBN: 978-3-7643-8774-7
eBook ISBN: 978-3-7643-8775-4
Series ISSN: 0255-0156
Series E-ISSN: 2296-4878
Edition Number: 1
Number of Pages: XII, 224
Topics: Operator Theory