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" The localization problem in index theory of elliptic operators / "
Vladimir Nazaikinskii, Bert-Wolfgang Schulze, Boris Sternin
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BL
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| Record Number
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603854
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b433073
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| Main Entry
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Nazaĭkinskiĭ, V. E.
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| Title & Author
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The localization problem in index theory of elliptic operators /\ Vladimir Nazaikinskii, Bert-Wolfgang Schulze, Boris Sternin
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| Series Statement
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Pseudo-differential operators ;; 10
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| Page. NO
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1 online resource
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| ISBN
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3034805101 (electronic bk.)
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: 9783034805100 (electronic bk.)
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9783034805094
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| Bibliographies/Indexes
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Includes bibliographical references and index
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| Contents
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Superposition Principle for the Relative Index -- Superposition Principle for K-Homology -- Superposition Principle for KK-Theory -- Elliptic Operators on Noncompact Manifolds -- Applications to Boundary Value Problems -- Spectral Flow for Families of Dirac Type Operators
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| Abstract
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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
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| Subject
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Elliptic operators
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Index theory (Mathematics)
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| Dewey Classification
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515.7242
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| LC Classification
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QA329.42
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| Added Entry
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Schulze, Bert-Wolfgang
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Sternin, B. I︠U︡
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Ohio Library and Information Network
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