A Principal Function Problem — Finding a meromorphic function with a given boundary behavior or singularity

Authors

Mikihiro Hayashi, Hokkaido University, Sapporo, Japan

Document Type

Presentation Abstract

Presentation Date

4-22-2013

Abstract

For a given meromorphic function s on an open subset A of an (open) Riemann surface R, we want to find a meromorphic function q on R such that both q/s and s/q are bounded on A. Incidentally, we also mention an associated easier problem, finding a meromorphic function p on R such that p−s is bounded on A. Roughly speaking, these functions p and q behave like s on A and are meromorphically extended to R.

Additional Details

Presented jointly with the Analysis Seminar.

Monday, 22 April 2013
3:10 p.m. in Math 103
4:00 p.m. Refreshments in Math Lounge 109

Recommended Citation

Hayashi, Mikihiro, "A Principal Function Problem — Finding a meromorphic function with a given boundary behavior or singularity" (2013). Colloquia of the Department of Mathematical Sciences. 427.
https://scholarworks.umt.edu/mathcolloquia/427