INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783034805100
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-52495
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
The Localization Problem in Index Theory of Elliptic Operator
General Material Designation
[Book]
First Statement of Responsibility
/ electronic resource
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Basel
Name of Publisher, Distributor, etc.
: Springer Basel :Imprint: Birkh?user,
Date of Publication, Distribution, etc.
, 2014.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
VIII, 117 s. 38 illus., 1 illus. in color. , online resource..
SERIES
Series Title
(Pseudo-Differential Operators, Theory and Applications
Volume Designation
; 10)
GENERAL NOTES
Text of Note
9783034805094.
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
Text of Note
Summary: 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.
Text of Note
Preface -- Introduction -- 0.1 Basics of Elliptic Theory -- 0.2 Surgery and the Superposition Principle -- 0.3 Examples and Applications -- 0.4 Bibliographical Remarks -- Part I: Superposition Principle -- 1 Superposition Principle for the Relative Index -- 1.1 Collar Spaces -- 1.2 Proper Operators and Fredholm Operators -- 1.3 Superposition Principle -- 2 Superposition Principle for K-Homology -- 2.1 Preliminaries -- 2.2 Fredholm Modules and K-Homology -- 2.3 Superposition Principle -- 2.4 Fredholm Modules and Elliptic Operators -- 3 Superposition Principle for KK-Theory -- 3.1 Preliminaries -- 3.2 Hilbert Modules, Kasparov Modules, and KK -- 3.3 Superposition Principle -- Part II: Examples -- 4 Elliptic Operators on Noncompact Manifolds -- 4.1 Gromov@2013Lawson Theorem -- 4.2 Bunke Theorem -- 4.3 Roe@2019s Relative Index Construction -- 5 Applications to Boundary Value Problems -- 5.1 Preliminaries -- 5.2 Agranovich@2013Dynin Theorem -- 5.3 Agranovich Theorem -- 5.4 Bojarski Theorem and Its Generalizations -- 5.5 Boundary Value Problems with Symmetric Conormal Symbol -- 6 Spectral Flow for Families of Dirac Type Operators -- 6.1 Statement of the Problem -- 6.2 Simple Example -- 6.3 Formula for the Spectral Flow -- 6.4 Computation of the Spectral Flow for a Graphene Sheet -- Bibliography.
SERIES
Title
Pseudo-Differential Operators, Theory and Applications
Volume Number
10
TOPICAL NAME USED AS SUBJECT
Mathematics
K-theory
Functional analysis
Global analysis
Differential equations, partial
Mathematics
Global Analysis and Analysis on Manifolds
K-Theory
Functional Analysis
Partial Differential Equations
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Nazaikinskii, Vladimir.
PERSONAL NAME - SECONDARY RESPONSIBILITY
Schulze, Bert-Wolfgang
Sternin, Boris
SpringerLink (Online service)
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9783034805094.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9783034805094.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
