HCIZ integral formula as unitarity of a canonical map between reproducing kernel spaces
Functional Analysis
2024-03-14 v5
Abstract
In this article we prove that the Harish-Chandra-Itzykson-Zuber (HCIZ) integral formula is equivalent to the unitarity of a canonical map between invariant subspaces of Segal-Bargmann spaces. As a consequence, we provide two new proofs of the HCIZ integral formula and alternative proofs of related results.
Keywords
Cite
@article{arxiv.2312.16816,
title = {HCIZ integral formula as unitarity of a canonical map between reproducing kernel spaces},
author = {Martin Miglioli},
journal= {arXiv preprint arXiv:2312.16816},
year = {2024}
}
Comments
12 pages, minor changes in the presentation of the previous version where made. References where added