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

URN to cite this document:
urn:nbn:de:bvb:355-epub-244751
Neira-Jiménez, Carolina ; Ouedraogo, Marie F.
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Date of publication of this fulltext: 22 May 2012 08:39


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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