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Elliptic Boundary Problems for Dirac Operators

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Cover of 'Elliptic Boundary Problems for Dirac Operators'

Table of Contents

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    Book Overview
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    Chapter 1 Clifford Algebras and Clifford Modules
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    Chapter 2 Clifford Bundles and Compatible Connections
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    Chapter 3 Dirac Operators
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    Chapter 4 Dirac Laplacian and Connection Laplacian
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    Chapter 5 Euclidean Examples
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    Chapter 6 The Classical Dirac (Atiyah-Singer) Operators on Spin Manifolds
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    Chapter 7 Dirac Operators and Chirality
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    Chapter 8 Unique Continuation Property for Dirac Operators
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    Chapter 9 Invertible Doubles
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    Chapter 10 Glueing Constructions. Relative Index Theorem
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    Chapter 11 Sobolev Spaces on Manifolds with Boundary
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    Chapter 12 Calderón Projector for Dirac Operators
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    Chapter 13 Existence of Traces of Null Space Elements
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    Chapter 14 Spectral Projections of Dirac Operators
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    Chapter 15 Pseudo-Differential Grassmannians
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    Chapter 16 The Homotopy Groups of the Space of Self-Adjoint Fredholm Operators
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    Chapter 17 The Spectral Flow of Families of Self-Adjoint Operators
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    Chapter 18 Elliptic Boundary Problems and Pseudo-Differential Projections
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    Chapter 19 Regularity of Solutions of Elliptic Boundary Problems
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    Chapter 20 Fredholm Property of the Operator A R
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    Chapter 21 Exchanges on the Boundary: Agranovič-Dynin Type Formulas and the Cobordism Theorem for Dirac Operators
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    Chapter 22 The Index Theorem for Atiyah-Patodi-Singer Problems
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    Chapter 23 Some Remarks on the Index of Generalized Atiyah-Patodi-Singer Problems
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    Chapter 24 Bojarski’s Theorem. General Linear Conjugation Problems
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    Chapter 25 Cutting and Pasting of Elliptic Operators
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    Chapter 26 Dirac Operators on the Two-Sphere
Attention for Chapter 24: Bojarski’s Theorem. General Linear Conjugation Problems
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Chapter title
Bojarski’s Theorem. General Linear Conjugation Problems
Chapter number 24
Book title
Elliptic Boundary Problems for Dirac Operators
Published by
Birkhäuser, Boston, MA, January 1993
DOI 10.1007/978-1-4612-0337-7_24
Book ISBNs
978-1-4612-6713-3, 978-1-4612-0337-7
Authors

Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski, Booß-Bavnbek, Bernhelm, Wojciechowski, Krzysztof P.