Approximation and Loewner Theory of holomorphic covering mappings
Matteo Fiacchi
TL;DR
This paper develops a generalized Loewner theory for holomorphic covering mappings and provides conditions to approximate local coverings of the unit ball in complex space with entire coverings.
Contribution
It introduces a generalized Loewner theory for covering mappings and establishes approximation conditions for holomorphic coverings in several complex variables.
Findings
Established approximation conditions for holomorphic covering mappings.
Developed a generalized Loewner theory for covering mappings.
Provided theoretical framework for uniform approximation in complex analysis.
Abstract
We give conditions in order to approximate locally uniformly holomorphic covering mappings of the unit ball of with respect to an arbitrary norm, with entire holomorphic covering mappings. The results rely on a generalization of the Loewner theory for covering mappings which we develop in the paper.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.