双参数C半群的指数公式

Exponential formula of two-parameter Csemi-groups

算子半群及其无穷小生成元之间的关系是算子半群理论的一个重要问题.基于双参数C半群及其无穷小生成元间的关系,给出单参数C半群的指数公式,在一定的条件下,将该指数公式推广到双参数C半群上.

The relation between the operator semi-groups and its infinitesimal generator is one of the fundamental problems in the theory of semi-groups of operators.Based on this relation,the exponential formula of C semi-groups are given.Under certain conditions,the exponential formula of one-parameter C semi-groups is extended to two-pa-rameter C semi-groups.