convolution of distributions

With the theory of Hun semigroups,we proved that any regular generalized convolution algebra,with the generalized convolution operation and endowed with the weak- ly convergent topology,forms a metrizable,stable and normable Hun semigroup,without non-unity idempotent elements.

利用 Hun 半群理论,证明了任一正则广义卷积代数,按广义卷积运算和弱收敛拓扑构成一个可度量化。

The generalized convolution of probability measures defined on R+=[0,∞) was extended to the compact space =[0,∞]in an alternative way,comparing with that one used by Urbanik.

把定义在半直线 R+=[0,∞)上概率测度的广义卷积推广到了紧空间 +=[0,∞]上。