Fischer Decomposition for Difference Dirac Operators
Complex Variables
2011-02-15 v1 Numerical Analysis
Abstract
We establish the basis of a discrete function theory starting with a Fischer decomposition for difference Dirac operators. Discrete versions of homogeneous polynomials, Euler and Gamma operators are obtained. As a consequence we obtain a Fischer decomposition for the discrete Laplacian.
Cite
@article{arxiv.math/0609823,
title = {Fischer Decomposition for Difference Dirac Operators},
author = {Nelson Faustino and Uwe Kaehler},
journal= {arXiv preprint arXiv:math/0609823},
year = {2011}
}