The Callias Index Formula Revisited

By Fritz Gesztesy and Marcus Waurick

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.

• Format: Paperback
• Language: English
• ISBN: 331929976X
• ISBN13: 9783319299761
• Release Date: June 2016
• Publisher: Springer
• Length: 192 Pages
• Weight: 0.65 lbs.
• Dimensions: 0.4" x 6.1" x 9.2"