Discrete Polynomials and Discrete Holomorphic Approximation
Mathematical Physics
2007-05-23 v1 Combinatorics
math.MP
Abstract
We use discrete holomorphic polynomials to prove that, given a refining sequence of critical maps of a Riemann surface, any holomorphic function can be approximated by a converging sequence of discrete holomorphic functions.
Cite
@article{arxiv.math-ph/0206041,
title = {Discrete Polynomials and Discrete Holomorphic Approximation},
author = {Christian Mercat},
journal= {arXiv preprint arXiv:math-ph/0206041},
year = {2007}
}
Comments
15 pages, 1 figure, youngtab.sty (included)