标题： 关于S'中没有支撑的Levy过程族 显示英文标题

标题： On a family of Levy processes without support in S'

摘要： 勒维过程样本路径的分布支撑是构建稀疏统计模型、无限维积分理论以及由勒维白噪声驱动的随机偏微分方程广义解的存在性的重要问题。 这里考虑一个族 K_\alpha (0<\alpha <2) 的勒维过程，它们在 S' 中没有支撑。 对于 1<\alpha <2，它们在 K' 中支撑，即指数类型的分布空间，而对于 0<\alpha =<1 在类似的空间中为幂指数类型。 显示英文摘要

摘要： The distributional support of the sample paths of L\'evy processes is an important issue for the construction of sparse statistical models, theories of integration in infinite dimensions and the existence of generalized solutions of stochastic partial differential equations driven by L\'evy white noise. Here one considers a family K_\alpha (0<\alpha<2) of L\'evy processes which have no support in S'. For 1<\alpha<2 they are supported in K', the space of distributions of exponential type and for 0<\alpha=<1 on similar spaces of power exponential type.