Determinantal Expressions of Certain Integrals on Symmetric Spaces
Résumé
The integral of a function f defined on a symmetric space M ≃ G/K may be expressed in the form of a determinant (or Pfaffian), when f is K-invariant and, in a certain sense, a tensor power of a positive function of a single variable. The paper presents a few examples of this idea and discusses future extensions. Specifically, the examples involve symmetric cones, Grassmann manifolds, and classical domains.
Domaines
Géométrie différentielle [math.DG]
Origine : Fichiers produits par l'(les) auteur(s)