Loewner理论中的半群与进化族
Semigroups versus evolution families in the Loewner theory
摘要:
我们证明了单位圆盘的演化族是对易的当且仅当其对应的Herglotz向量场具有分离变量。这是当且仅当演化族来自圆盘的全纯自映射半群。
英文摘要:
We show that an evolution family of the unit disc is commuting if and only if the associated Herglotz vector field has separated variables. This is the case if and only if the evolution family comes from a semigroup of holomorphic self-maps of the disc.
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