Comptes Rendus
Géométrie différentielle
Laplacien hypoelliptique et intégrales orbitales
Comptes Rendus. Mathématique, Volume 347 (2009) no. 19-20, pp. 1189-1195.

On donne une nouvelle méthode de calcul d'intégrales orbitales utilisant le Laplacien hypoelliptique. On obtient un formalisme unifiant le théorème de l'indice d'Atiyah–Singer et la formule des traces.

We give a new approach to orbital integrals based on the hypoelliptic Laplacian. The formalism unifies the Atiyah–Singer index theorem and the trace formula.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.09.014

Jean-Michel Bismut 1

1 Département de mathématique, université Paris-Sud, bâtiment 425, 91405 Orsay cedex, France
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Jean-Michel Bismut. Laplacien hypoelliptique et intégrales orbitales. Comptes Rendus. Mathématique, Volume 347 (2009) no. 19-20, pp. 1189-1195. doi : 10.1016/j.crma.2009.09.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.09.014/

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