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arxiv: math/0609823 · v1 · pith:3C45L5WVnew · submitted 2006-09-29 · 🧮 math.CV · cs.NA· math.NA

Fischer Decomposition for Difference Dirac Operators

Nelson Faustino , Uwe Kaehler This is my paper
classification 🧮 math.CV cs.NAmath.NA
keywords decompositiondiscretefischeroperatorsdifferencediracbasisconsequence
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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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