Fischer Decomposition for Difference Dirac Operators

Details Fischer Decomposition for Difference Dirac Operators Fischer Decomposition for Difference Dirac Operators

2006-09-29

arxiv.org/abs/math/0609823v1

Advances in Applied Clifford Algebras, 17, no.1, 2007, 37-58

Mathematics

Complex Variables

Scientific paper

10.1007/s00006-006-0016-5

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.

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