Traces on log-polyhomogeneous pseudodifferential operators

From known results on classical pseudodifferential operators, we derive a new approach of the problem of existence and uniqueness of traces on the algebra of log-polyhomogeneous pseudodifferential operators. In particular, we show that if the manifold is odd-dimensionnal, the canonical trace is the unique trace on odd-class log-polyhomogeneous operators.

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[4]OUEDRAOGO-MaxPlanck2010.pdf [5]	230.56 KB