ARTICLE
Noncommutative residue and symplectic foliation
- Journal de Mathématiques Pures et Appliquées de Ouagadougou , 2 (1) : 1-19
Lien de l'article :
https://www.journal.uts.bf/index.php/jmpao/article/view/143/132
Discipline :
Mathématiques
Auteur(s) :
Daniel Koama, Marie Françoise Ouedraogo
Auteur(s) tagués :
OUEDRAOGO Marie Françoise
Renseignée par : OUEDRAOGO Marie Françoise
Résumé
Let (M, ω) be a symplectic foliation with a symplectic form. Let A be an Heisenberg pseudodifferential operator. In this paper, we define the noncommutative residue of A for the symplectic foliation, using a symplectic form. Moreover, we show that is the unique trace on the algebra of Heisenberg pseudodifferential operators up to multiplication by a constant and we related it to the Dixmier trace in the given space.
Mots-clés
Aucun mot-clé renseigné.