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Fischer Decomposition for Difference Dirac Operators

Nelson Faustino·Uwe Kaehler
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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.

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Nelson Faustino, Uwe Kaehler. 2006-09-29. Fischer Decomposition for Difference Dirac Operators. https://doi.org/10.1007/s00006-006-0016-5

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