On the Cauchy Integral and Jump Decomposition
Complex Variables
2023-01-31 v1
Abstract
Following "Boundary Value Problems" by Gakhov, we present basic details of the Cauchy Type Integral and its Jump Decomposition. We also contextualize its place and importance in Geometric Function Theory, and efforts to define these integrals over Quasicircles. Finally, we briefly touch on Faber series in relation to the Jump Problem following the work of H. Tietz.
Keywords
Cite
@article{arxiv.2301.12287,
title = {On the Cauchy Integral and Jump Decomposition},
author = {James Young},
journal= {arXiv preprint arXiv:2301.12287},
year = {2023}
}