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The Callias Index Formula Revisited

The Callias Index Formula Revisited

Paperback

Series: Lecture Notes in Mathematics, Book 2157

General Mathematics

ISBN10: 331929976X
ISBN13: 9783319299761
Publisher: Springer Nature
Published: Jun 29 2016
Pages: 192
Weight: 0.65
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English
Introduction.-Notational Conventions.- Functional Analytic.- On Schatten-von Neumann Classes and Trace Class.- Pointwise Estimates for Integral Kernels.- Dirac-Type.- Derivation of the Trace Formula - The Trace Class Result.- Derivation of the Trace Formula - Diagonal Estimates.- The Case n = 3.- The Index Theorem and Some Consequences.- Perturbation Theory for the Helmholtz Equation.- The Proof of Theorem 10.2: The Smooth Case.- The Proof of Theorem 10.2: The General Case.- A Particular Class of Non-Fredholm Operators L and Their Generalized Witten Index.- A: Construction of the Euclidean Dirac Algebra.- B: A Counterexample to [22, Lemma 5].- References.- Index.

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General Mathematics