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arXiv · 2312.16816

HCIZ integral formula as unitarity of a canonical map between reproducing kernel spaces

Martin Miglioli
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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.

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Martin Miglioli. 2023-12-28. HCIZ integral formula as unitarity of a canonical map between reproducing kernel spaces. https://arxiv.org/abs/2312.16816

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