广义双正则函数带共轭值带位移的边值问题

本文讨论实Clifford分析中广义双正则函数的带共轭值和带位移的非线性边值问 题,首先得到其Plemelj公式,然后用积分方程的方法和Schauder 不动点定理讨论了这个边值 问题的可解性,     

Partial Dirac cohomology and tempered representations

The tempered representations of a real reductive Lie group G are naturally partitioned into series associated with conjugacy classes of Cartan subgroups H of G. We define partial Dirac cohomology, apply it for geometric construction of various models of these H–series representations, and show how this construction fits into the framework of geometric quantization and symplectic reduction.