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.
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)|
|Series of the University of Regensburg:||Preprintreihe der Fakultät Mathematik|
|Institutions:||Mathematics > Prof. Dr. Bernd Ammann|
|Keywords:||pseudodifferential operators; odd-class; trace; determinant; logarithm; regular Lie group|
|Dewey Decimal Classification:||500 Science > 510 Mathematics|
|Refereed:||No, this version has not been refereed yet (as with preprints)|
|Created at the University of Regensburg:||Yes|
|Deposited On:||22 May 2012 08:39|
|Last Modified:||13 Mar 2014 18:52|