English

Separation of Boundary Singularities for Holomorphic Generators

Complex Variables 2010-03-01 v1

Abstract

We prove a theorem on separation of boundary null points for generators of continuous semigroups of holomorphic self-mappings of the unit disk in the complex plane. Our construction demonstrates the existence and importance of a particular role of the binary operation \circ given by 1/fg=1/f+1/g1 / f \circ g = 1/f + 1/g on generators.

Keywords

Cite

@article{arxiv.1002.4883,
  title  = {Separation of Boundary Singularities for Holomorphic Generators},
  author = {Mark Elin and David Shoikhet and Nikolai Tarkhanov},
  journal= {arXiv preprint arXiv:1002.4883},
  year   = {2010}
}
R2 v1 2026-06-21T14:51:24.116Z