Pseudo-Differential Operators

The Localization Problem in Index Theory of Elliptic Operators

Authors: Nazaikinskii, Vladimir, Schulze, Bert-Wolfgang, Sternin, Boris

  • 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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  • ISBN 978-3-0348-0510-0
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  • ISBN 978-3-0348-0509-4
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About this book

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)

  • Introduction

    Nazaikinskii, Vladimir (et al.)

    Pages 1-17

  • Superposition Principle for the Relative Index

    Nazaikinskii, Vladimir (et al.)

    Pages 21-40

  • Superposition Principle for K-Homology

    Nazaikinskii, Vladimir (et al.)

    Pages 41-58

  • Superposition Principle for KK-Theory

    Nazaikinskii, Vladimir (et al.)

    Pages 59-68

  • Elliptic Operators on Noncompact Manifolds

    Nazaikinskii, Vladimir (et al.)

    Pages 71-79

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-0348-0510-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $74.99
price for USA
  • ISBN 978-3-0348-0509-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
The Localization Problem in Index Theory of Elliptic Operators
Authors
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 and Tables
37 b/w illustrations, 1 illustrations in colour
Topics