Fischer Decomposition for Difference Dirac Operators |
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Authors: | N. Faustino U. Kähler |
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Affiliation: | (1) Departamento de Matemática, Universidade de Aveiro, P-3810-193 Aveiro, Portugal |
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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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Keywords: | 30G35 30G25 39A12 39A70 |
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