Journal of the Australian Mathematical Society

Table of Contents - April 2011 - Volume 90, Issue 02  

Research Article

UNIQUENESS OF TRACES ON LOG-POLYHOMOGENEOUS PSEUDODIFFERENTIAL OPERATORS

C. DUCOURTIOUXa1 c1 and M. F. OUEDRAOGOa2

a1 Département de Mathématiques, Université Pascal Paoli, 20250 Corte, France (email: ducourtioux@univ-corse.fr)

a2 Département de Mathématiques, Université de Ouagadougou, 03 BP 7021, Burkina Faso (email: marie.oued@univ-ouaga.bf)

Abstract

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.

(Received July 27 2010)

(Accepted December 16 2010)

(Online publication May 31 2011)

2010 Mathematics subject classification

  • primary 47G30; secondary 58J40

Keywords and phrases

  • log-polyhomogeneous pseudodifferential operators;
  • traces

Correspondence:

c1 For correspondence; e-mail: ducourtioux@univ-corse.fr

Footnotes

Communicated by S. Rosenberg

Dedicated to Alan Carey, on the occasion of his 60th birthday