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On finite difference Dirac operators and their fundamental solutions

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Abstract

Several finite difference approximations of the Dirac operator are studied and compared. Main goals are finite difference Dirac operators which allow a factorization of the discrete Laplacian. We describe the fundamental solutions of the difference operators and prove convergence results inl p -spaces. Discrete versions of the Teodorescu transform are defined.

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Authors and Affiliations

  1. Institut Mathematik/Physik, Bauhaus-Universität Weimar, D-99421, Weimar, Germany

    K. Gürlebeck & A. Hommel

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  1. K. Gürlebeck
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  2. A. Hommel
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Gürlebeck, K., Hommel, A. On finite difference Dirac operators and their fundamental solutions. AACA 11 (Suppl 2), 89–106 (2001). https://doi.org/10.1007/BF03219125

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