Détails Publication
Noncommutative residue and symplectic foliation,
Lien de l'article: https://www.journal.uts.bf/index.php/jmpao/article/view/143/132
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.
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