HCIZ integral formula as unitarity of a canonical map between reproducing kernel spaces
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911794161778688 |
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| author | Miglioli, Martin |
| author_facet | Miglioli, Martin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_16816 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | HCIZ integral formula as unitarity of a canonical map between reproducing kernel spaces Miglioli, Martin Functional Analysis 47B32, 30H20, 15B52 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. |
| title | HCIZ integral formula as unitarity of a canonical map between reproducing kernel spaces |
| topic | Functional Analysis 47B32, 30H20, 15B52 |
| url | https://arxiv.org/abs/2312.16816 |