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arXiv · 2306.10390

Determinantal expressions of certain integrals on symmetric spaces

Salem Said·Cyrus Mostajeran
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Abstract

The integral of a function $f$ defined on a symmetric space $M \simeq G/K$ 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.

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Salem Said, Cyrus Mostajeran. 2023-06-17. Determinantal expressions of certain integrals on symmetric spaces. https://arxiv.org/abs/2306.10390

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