锥参数卷积半群从属的自分解与半自分解
Selfdecomposability and semi-selfdecomposability in subordination of cone-parameter convolution semigroups
摘要：
两个已知的事实有关从属的扩展。第一个事实是，在具有漂移的一维布朗运动的从属中，自分解性从从属到从属是继承的。这是推广到从属锥参数卷积半群。第二个事实是，在$\mathbb{R}^d$上严格稳定的锥参数卷积半群的从属中，自分解性从从属子继承到从属子。这被扩展到半自分解性。
英文摘要：
Extension of two known facts concerning subordination is made. The first fact is that, in subordination of 1-dimensional Brownian motion with drift, selfdecomposability is inherited from subordinator to subordinated. This is extended to subordination of cone-parameter convolution semigroups. The second fact is that, in subordination of strictly stable cone-parameter convolution semigroups on $\mathbb{R}^d$, selfdecomposability is inherited from subordinator to subordinated. This is extended to semi-selfdecomposability.
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。
