八元数平面上的多重次调和函数与凸集上的Spin（9）不变赋值
Plurisubharmonic functions on the octonionic plane and Spin(9)-invariant valuations on convex sets
摘要：
在八元数平面O ^2 = R^{16}上引入了一类新的多重次调和函数.本文证明了A.D. Aleksandrov和Chern-Levine-Nirenberg以及Blocki定理的一个八元数形式。这些结果被用来构造O^2=R^{16}的凸子集上的连续平移不变赋值的新例子。特别地，给出了R^{16}上Spin（9）-不变赋值的一个新例子.
英文摘要：
A new class of plurisubharmonic functions on the octonionic plane O^2= R^{16} is introduced. An octonionic version of theorems of A.D. Aleksandrov and Chern- Levine-Nirenberg, and Blocki are proved. These results are used to construct new examples of continuous translation invariant valuations on convex subsets of O^2=R^{16}. In particular a new example of Spin(9)-invariant valuation on R^{16} is given.
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。
