The Localization Problem in Index Theory of Elliptic Operators

  • Vladimir Nazaikinskii
  • Bert-Wolfgang Schulze
  • Boris Sternin

Part of the Pseudo-Differential Operators book series (PDO, volume 10)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Vladimir Nazaikinskii, Bert-Wolfgang Schulze, Boris Sternin
    Pages 1-17
  3. Superposition Principle

    1. Front Matter
      Pages 19-19
    2. Vladimir Nazaikinskii, Bert-Wolfgang Schulze, Boris Sternin
      Pages 21-40
    3. Vladimir Nazaikinskii, Bert-Wolfgang Schulze, Boris Sternin
      Pages 41-58
    4. Vladimir Nazaikinskii, Bert-Wolfgang Schulze, Boris Sternin
      Pages 59-68
  4. Examples

    1. Front Matter
      Pages 69-69
    2. Vladimir Nazaikinskii, Bert-Wolfgang Schulze, Boris Sternin
      Pages 71-79
    3. Vladimir Nazaikinskii, Bert-Wolfgang Schulze, Boris Sternin
      Pages 81-92
    4. Vladimir Nazaikinskii, Bert-Wolfgang Schulze, Boris Sternin
      Pages 93-108
  5. Back Matter
    Pages 109-117

About this book

Introduction

This 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 important new problems in index theory. So far, the localization principle has scarcely been covered in journal papers. The present book is intended to fill this gap. Both the general localization principle and its applications to specific problems, old and new, are covered. Concisely and clearly written, this monograph includes numerous figures helping the reader to visualize the material.

The Localization Problem in Index Theory of Elliptic Operators will be of interest to researchers as well as graduate and postgraduate students specializing in differential equations and related topics.​

Keywords

elliptic operator index theory localization

Authors and affiliations

  • Vladimir Nazaikinskii
    • 1
  • Bert-Wolfgang Schulze
    • 2
  • Boris Sternin
    • 3
  1. 1.Ishlinsky Inst. f. Problems of MechanicsRussian Academy of SciencesMoscowRussia
  2. 2.Universität PotsdamInstitut für MathematikPotsdamGermany
  3. 3.Peoples’ Friendship Univers. of RussiaMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-0510-0
  • Copyright Information Springer Basel 2014
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0348-0509-4
  • Online ISBN 978-3-0348-0510-0
  • About this book