Exponentials form a basis of discrete holomorphic functions on a compact

Christian Mercat (1)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

We show that discrete exponentials form a basis of discrete holomorphic functions on a compact. On a convex, the discrete polynomials form a basis as well.

Mots clés: surfaces de Riemann discrètes

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

Christian Mercat. Exponentials form a basis of discrete holomorphic functions on a compact. Bulletin de la société mathématique de France, 2004, 132 (2), pp.305-326. ⟨10.24033/bsmf.2467⟩. ⟨hal-00249146⟩