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Classification of traces and associated determinants on odd-class operators in odd dimensions

Neira-Jiménez, Carolina and Ouedraogo, Marie F. (2012) Classification of traces and associated determinants on odd-class operators in odd dimensions. Preprintreihe der Fakultät Mathematik 10/2012, Working Paper.

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Abstract

To supplement the already known classification of traces on classical pseudodifferential operators, we present a classification of traces on the algebras of odd-class pseudodifferential operators of non-positive order acting on smooth functions on a closed odd-dimensional manifold. By means of the one to one correspondence between continuous traces on Lie algebras and determinants on the ...

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Item Type:Monograph (Working Paper)
Date:2012
Institutions:Mathematics > Prof. Dr. Bernd Ammann
Classification:
NotationType
58J40MSC
47C05MSC
Keywords:pseudodifferential operators; odd-class; trace; determinant; logarithm; regular Lie group
Subjects:500 Science > 510 Mathematics
Status:Unknown
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Owner: Universitätsbibliothek Regensburg
Deposited On:22 May 2012 08:39
Last Modified:13 Mar 2014 18:52
Item ID:24475
Owner Only: item control page

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