Uniqueness of traces on log-polyhomogeneous pseudodifferential operators

Catherine Ducourtioux (1) , Marie-Françoise Ouedraogo (2)

1 SPE - Sciences pour l'environnement
2 Département de mathématiques

We show how to derive the uniqueness of graded or ordinary traces on some algebras of log-polyhomogeneous pseudodifferential operators from the uniqueness of their restriction to classical peudodifferential ones.

Mots clés: log-polyhomogeneous pseudodifferential operators; traces

Domaines: Algèbres d'opérateurs [math.OA]

Catherine Ducourtioux, Marie-Françoise Ouedraogo. Uniqueness of traces on log-polyhomogeneous pseudodifferential operators. Journal of the Australian Mathematical Society, 2011, 90 (2), pp.171-181. ⟨10.1017/S1446788711001194⟩. ⟨hal-00604113⟩