Pseudodifferential Operators and Regularized Traces
Abstract
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.
Cite
@article{arxiv.0901.1689,
title = {Pseudodifferential Operators and Regularized Traces},
author = {Matthias Lesch},
journal= {arXiv preprint arXiv:0901.1689},
year = {2012}
}
Comments
38 pages, 1 figure; rewritten and revised according to the referee's suggestions, section on the Hilbert space trace added; accepted for publication in the Proceedings of the Conference on Motives, Quantum Field Theory and Pseudodifferential Operators, Boston, June 2008, Clay Mathematics Proceedings; v3 a few BUG fixes, none really serious, but one annoying omission fixed