Determinantal expressions of certain integrals on symmetric spaces
Differential Geometry
2023-06-21 v1
Abstract
The integral of a function defined on a symmetric space may be expressed in the form of a determinant (or Pfaffian), when is -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.
Keywords
Cite
@article{arxiv.2306.10390,
title = {Determinantal expressions of certain integrals on symmetric spaces},
author = {Salem Said and Cyrus Mostajeran},
journal= {arXiv preprint arXiv:2306.10390},
year = {2023}
}