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math.CV2009
Semigroups versus evolution families in the Loewner theory
Filippo Bracci, Manuel D. Contreras, Santiago Diaz-Madrigal
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 evol…
math.CV2009★ 3 cited
Loewner chains in the unit disk
Manuel D. Contreras, Santiago Diaz-Madrigal, Pavel Gumenyuk
In this paper we introduce a general version of the notion of Loewner chains which comes from the new and unified treatment, given in [arXiv:0807.1594], of the radial and chordal v…