The Localization Problem in Index Theory of Elliptic Operators
Authors: Nazaikinskii, Vladimir E., Schulze, Bert-Wolfgang, Sternin, Boris
Free Preview- The book is concisely and clearly written and contains numerous figures helping the reader to visualize the material
- The book uses simple language to explain the main ideas and avoids unnecessary technicalities without sacrificing mathematical rigor
- The applications described in the book include a carefully selected variety of results, old as well as new, each of which is described in a self-contained way and can be read independently
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- About this book
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The book deals with the localization approach to the index problem for elliptic operators. Localization ideas have been widely used for solving various specific index problems for a long time, but the fact that there is actually a fundamental localization principle underlying all these solutions has mostly passed unnoticed. The ignorance of this general principle has often necessitated using various artificial tricks and hindered the solution of new important problems in index theory. So far, the localization principle has been only scarcely covered in journal papers and not covered at all in monographs. The suggested book is intended to fill the gap. So far, it is the first and only monograph dealing with the topic. Both the general localization principle and its applications to specific problems, existing and new, are covered. The book will be of interest to working mathematicians as well as graduate and postgraduate university students specializing in differential equations and related topics.
- Table of contents (7 chapters)
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Introduction
Pages 1-17
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Superposition Principle for the Relative Index
Pages 21-40
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Superposition Principle for K-Homology
Pages 41-58
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Superposition Principle for KK-Theory
Pages 59-68
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Elliptic Operators on Noncompact Manifolds
Pages 71-79
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Table of contents (7 chapters)
- Download Preface 1 PDF (53.6 KB)
- Download Sample pages 1 PDF (590.6 KB)
- Download Table of contents PDF (94.8 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- The Localization Problem in Index Theory of Elliptic Operators
- Authors
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- Vladimir E. Nazaikinskii
- Bert-Wolfgang Schulze
- Boris Sternin
- Series Title
- Pseudo-Differential Operators
- Series Volume
- 10
- Copyright
- 2014
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer Basel
- eBook ISBN
- 978-3-0348-0510-0
- DOI
- 10.1007/978-3-0348-0510-0
- Softcover ISBN
- 978-3-0348-0509-4
- Series ISSN
- 2297-0355
- Edition Number
- 1
- Number of Pages
- VIII, 117
- Number of Illustrations
- 37 b/w illustrations, 1 illustrations in colour
- Topics
