Line bundles defined by the Schwarz function
Complex Variables
2017-11-10 v1
Abstract
Cauchy and exponential transforms are characterized, and constructed, as canonical holomorphic sections of certain line bundles on the Riemann sphere defined in terms of the Schwarz function. A well known natural connection between Schwarz reflection and line bundles defined on the Schottky double of a planar domain is briefly discussed in the same context.
Keywords
Cite
@article{arxiv.1711.03281,
title = {Line bundles defined by the Schwarz function},
author = {Björn Gustafsson and Mihai Putinar},
journal= {arXiv preprint arXiv:1711.03281},
year = {2017}
}