Semigroups versus evolution families in the Loewner theory

Details Semigroups versus evolution families in the Loewner theory Semigroups versus evolution families in the Loewner theory

2009-07-24

arxiv.org/abs/0907.4324v1

Mathematics

Complex Variables

19 pages

Scientific paper

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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