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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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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DOI: https://doi.org/10.1007/BF03219125