分布的可卷积性和正则化
Convolvability and regularization of distributions
摘要：
我们应用L.~ Schwartz的向量值分布理论，以简化、统一和推广关于分布的可卷积性、正则化性质和分布集的拓扑性质的陈述。证明依赖于命题的乘法向量值分布和空间$\mathcal{O}_{M}(E,F)$和$\mathcal{O}_{C}'(E,F)$的乘法器和卷积分布空间$E$和$F$的特征。
英文摘要：
We apply L.~Schwartz' theory of vector valued distributions in order to simplify, unify and generalize statements about convolvability of distributions, their regularization properties and topological properties of sets of distributions. The proofs rely on propositions on the multiplication of vector-valued distributions and on the characterization of the spaces $\mathcal{O}_{M}(E,F)$ and $\mathcal{O}_{C}'(E,F)$ of multipliers and convolutors for distribution spaces $E$ and $F$.
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。
