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UNIQUENESS OF TRACES ON LOG-POLYHOMOGENEOUS PSEUDODIFFERENTIAL OPERATORS

Part of: Integral, integro-differential, and pseudodifferential operators

Published online by Cambridge University Press:  31 May 2011

C. DUCOURTIOUX  and
M. F. OUEDRAOGO
C. DUCOURTIOUX*
Affiliation:
Département de Mathématiques, Université Pascal Paoli, 20250 Corte, France (email: ducourtioux@univ-corse.fr)
M. F. OUEDRAOGO
Affiliation:
Département de Mathématiques, Université de Ouagadougou, 03 BP 7021, Burkina Faso (email: marie.oued@univ-ouaga.bf)
*
✉For correspondence; e-mail: ducourtioux@univ-corse.fr
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Abstract

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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 pseudodifferential ones.

Keywords

log-polyhomogeneous pseudodifferential operatorstraces

MSC classification

Secondary: 47G30: Pseudodifferential operators
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 90 , Issue 2 , April 2011 , pp. 171 - 181
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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