Julius and Julia: Mastering the art of the Schwarz lemma
Harold P. Boas
TL;DR
This paper explores classical boundary Schwarz lemmas in complex analysis, providing historical context, mathematical insights, and applications related to the unit disk in the complex plane.
Contribution
It offers a comprehensive commentary on the history, mathematics, and applications of boundary Schwarz lemmas, highlighting their significance in complex analysis.
Findings
Historical development of Schwarz lemmas at the boundary
Mathematical properties of boundary Schwarz lemmas
Applications in complex analysis and related fields
Abstract
This article discusses classical versions of the Schwarz lemma at the boundary of the unit disk in the complex plane. The exposition includes commentary on the history, the mathematics, and the applications.
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.
Taxonomy
TopicsHolomorphic and Operator Theory · Analytic and geometric function theory · Geometry and complex manifolds