Invariant Measures for Univalent Self-Maps of the Unit Disc
Document Type
Article
Publication Date
11-1-2007
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
We develop a translation-type model for univalent self-maps phi of the unit disc D having an interior fixed-point and use the model to classify the phi-invariant measures on D. We are particularly interested in maps which can be embedded in continuous semigroups of holomorphic self-maps of D.
Publication Title
Complex Analysis and Operator Theory
Volume
1
Issue
4
First Page
549
Last Page
569
Recommended Citation
Hornor, W. E.
(2007). Invariant Measures for Univalent Self-Maps of the Unit Disc. Complex Analysis and Operator Theory, 1(4), 549-569.
Available at: https://aquila.usm.edu/fac_pubs/1884