Semigroups versus evolution families in the loewner theory
- First Online:
- Cite this article as:
- Bracci, F., Contreras, M.D. & Díaz-Madrigal, S. JAMA (2011) 115: 273. doi:10.1007/s11854-011-0030-y
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.