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arXiv math/06098232006-09-29math.CVcs.NAmath.NA

差分Dirac算子的Fischer分解

Fischer Decomposition for Difference Dirac Operators

Nelson Faustino, Uwe Kaehler

发表信息：: Advances in Applied Clifford Algebras, 17, no.1, 2007, 37-58
DOI：: 10.1007/s00006-006-0016-5

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AI总结：

本文建立了差分Dirac算子的Fischer分解，定义了离散齐次多项式、Euler算子和Gamma算子，并导出了离散Laplacian的Fischer分解。

摘要：

我们从差分Dirac算子的Fischer分解出发，建立了离散函数理论的基础。得到了齐次多项式、Euler算子和Gamma算子的离散版本。作为结果，我们获得了离散Laplacian的Fischer分解。

英文摘要：

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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