Discrete Polynomials and Discrete Holomorphic Approximation

Christian Mercat (1)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

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.

Mots clés: discrete Riemann surfaces

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Combinatoire [math.CO]

Christian Mercat. Discrete Polynomials and Discrete Holomorphic Approximation. 2002. ⟨hal-00249077⟩