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.
@article{hal-00249146,
author = {Mercat, Christian},
title = {Exponentials form a basis of discrete holomorphic functions on a compact},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00249146}
}
Mercat, Christian. Exponentials form a basis of discrete holomorphic functions on a compact. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00249146/