English

The Quaternionic Cauchy-Szeg\"{o} Kernel on the Quaternionic Siegel Half Space

Functional Analysis 2012-10-22 v1 Complex Variables

Abstract

The quaternionic Cauchy-Szeg\"{o} kernel of the Hardy space H2(Un)\mathcal{H}^2(\mathcal{U}_n) on the quaternionic Siegel half space Un\mathcal{U}_n is derived and the Hardy spaces on the octonionic Siegel half space is investigated.

Cite

@article{arxiv.1210.5086,
  title  = {The Quaternionic Cauchy-Szeg\"{o} Kernel on the Quaternionic Siegel Half Space},
  author = {Jinxun Wang and Xingmin Li and Jianquan Liao},
  journal= {arXiv preprint arXiv:1210.5086},
  year   = {2012}
}

Comments

17 pages, has been submitted to journal for publication

R2 v1 2026-06-21T22:24:03.542Z