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Classification of traces and hypertraces on spaces of classical pseudodifferential operators

Lesch, Matthias and Neira-Jiménez, Carolina (2011) Classification of traces and hypertraces on spaces of classical pseudodifferential operators. Preprintreihe der Fakultät Mathematik 10/2011, Working Paper. (Unpublished)

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Abstract

Let M be a closed manifold and let CL•(M) be the algebra of classical pseudodifferential operators. The aim of this note is to classify trace functionals on the subspaces CLa(M) ⊂ CL•(M) of operators of order a. CLa(M) is a CL0(M)–module for any real a; it is an algebra only if a is a non–positive integer. Therefore, it turns out to be useful to introduce the notions of pretrace and hypertrace. ...

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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2011
Institutions:Mathematics > Prof. Dr. Bernd Ammann
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Unpublished
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Deposited on:18 Apr 2011 06:46
Last modified:13 Mar 2014 17:15
Item ID:20512
Owner only: item control page

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