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The Localization Problem in Index Theory of Elliptic Operators

LOCALIZATION PROBLEM IN INDEX THEORY ELLIPTIC OPERATORS

Gt Product Group

Binding Format

Marketing Imprint Name

B2B GT

CL Carton Count

Imprint Name

B2B & B2C

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.​

POST SECONDARY FOUR YEAR

COLFR

COLJR

COLSO

COLSR

Duration

Duration Unit Of Measure

Transaction Type

Front Cover.
Other Frontmatter.
Other Frontmatter.
Title Page.
Copyright Page.
Preface.
Contents.
1: Introduction.
2: Superposition Principle.
3: Superposition Principle for the Relative Index.
4: Superposition Principle for K.
5: Superposition Principle for KK-Theory.
6: Examples.
7: Elliptic Operators on Noncompact Manifolds.
8: Applications to Boundary Value Problems.
9: Spectral Flow for Families of Dirac Type Operators with Classical Boundary Conditions.
Bibliography.
Index.

The Localization Problem in Index Theory of Elliptic Operators.css-1p8rvzy{position:absolute;padding-left:8px;}

The Localization Problem in Index Theory of Elliptic Operators