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Discrete Polynomials and Discrete Holomorphic Approximation
Mercat, Christian
HAL, hal-00249077 / Harvested from HAL
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.
Publié le : 2002-06-24
Classification:  discrete Riemann surfaces,  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
@article{hal-00249077,
     author = {Mercat, Christian},
     title = {Discrete Polynomials and Discrete Holomorphic Approximation},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00249077}
}
Mercat, Christian. Discrete Polynomials and Discrete Holomorphic Approximation. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00249077/