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Traces and Determinants of Pseudodifferential Operators$
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Simon Scott

Print publication date: 2010

Print ISBN-13: 9780198568360

Published to Oxford Scholarship Online: January 2011

DOI: 10.1093/acprof:oso/9780198568360.001.0001

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(p.7) I Traces
Traces and Determinants of Pseudodifferential Operators

Simon Scott

Oxford University Press

In this Chapter examples of trace structures are given along with some elements of trace theory in general. These facts and examples are called upon and, in the specific case of pseudodifferential operators, developed in more detail in subsequent chapters. The emphasis in this chapter is to provide a broad overview of trace theory and specifically to point out the key ideas on traces of pseudodifferential operators, indicating the relevant sections later in the book for detailed proofs and examples.

Keywords:   Trace, character, regularized trace, cyclic homology, even-even operators, bounded operators, functional calculus, characteristic classes, complex powers, trace ideals, classical trace

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