作为再现内核空间之间典型映射的单位性的 HCIZ 积分公式

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-03-31 DOI:10.1016/j.jfa.2025.110977

Martin Miglioli

引用次数: 0

摘要

本文证明了HCIZ （Harish-Chandra-Itzykson-Zuber）积分公式等价于Segal-Bargmann空间上具有酉表示的不动点空间间正则映射的酉性。因此，我们提供了两个新的HCIZ积分公式的证明和相关结果的替代证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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

In this article we prove that the Harish-Chandra-Itzykson-Zuber (HCIZ) integral formula is equivalent to the unitarity of a canonical map between fixed point spaces of unitary representations on Segal-Bargmann spaces. As a consequence, we provide two new proofs of the HCIZ integral formula and alternative proofs of related results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis