两种DⅢ型有界对称域的逆ABEL变换

The Inverse Abel Transforms of some Bounded Symmetric Domains of Type D Ill

利用ｂｃ２型根系的三个转移算子Ｄｉ（１≤ｉ≤３），我们在本文中给出了有界对称域ＳＯ＊（８）／Ｕ（４）及ＳＯ＊（１０）／Ｕ（５）上初等球函数和逆Ａｂｅｌ变换的显式表达。

By using three shift operators Di (1 i 3) of the bc2 root system, wegive in the present paper the explicit expressions of elementary shperical functions andof the inverse Abel transforms for the bounded symmetric domains SO*(8)/U(4) andso* (1o)l/u(5).