Pseudodifferential Operators and Regularized Traces

Details Pseudodifferential Operators and Regularized Traces Pseudodifferential Operators and Regularized Traces

2009-01-13

arxiv.org/abs/0901.1689v3

In: Motives, Quantum Field Theory, and Pseudodifferential Operators, Clay Mathematics Proceedings, vol. 12, Amer. Math. Soc.,

Mathematics

Operator Algebras

38 pages, 1 figure; rewritten and revised according to the referee's suggestions, section on the Hilbert space trace added; ac

Scientific paper

This paper is based on talks delivered in summer 2008 at the Conference on Motives, QFT and Pseudodifferential Operators in Boston, and at the Trimester programme Geometry and Physics, Hausdorff Institute for Mathematics in Bonn The paper surveys the pseudodifferential calculus with parameter, resolvent expansions, Dixmier trace, noncommutative residue, Kontsevich-Vishik canonical trace as well some aspects of regularized integrals on spaces of symbols.

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