Discrete Polynomials and Discrete Holomorphic Approximation

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.

15 pages, 1 figure, youngtab.sty (included)

Cited by in corpus (1)

• Exponentials form a basis of discrete holomorphic functions