Jordan代数，Hermitian对称空间几何和非交换Hardy空间
Jordan algebras, geometry of Hermitian symmetric spaces and non-commutative Hardy spaces
摘要：
这些笔记是我在2004年11月和12月期间在庆应义塾大学就这个主题做了讲座之后写的。第一部分是关于Jordan代数在Hermite对称空间几何和Cayley型因果半单对称空间中的新应用。第二部分是对李半群上全纯函数的（非交换）Hardy空间的研究，这是Gelfand-Gindikin程序的一部分。
英文摘要：
These notes were written following lectures I had the pleasure of giving on this subject at Keio University, during November and December 2004. The first part is about new applications of Jordan algebras to the geometry of Hermitian symmetric spaces and to causal semi-simple symmetric spaces of Cayley type. The second part will present new contributions for studing (non commutative) Hardy spaces of holomorphic functions on Lie semi-groups which is a part of the so called Gelfand-Gindikin program.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
