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Functions on discrete sets holomorphic in the sense of isaacs, or monodiffric functions of the first kind

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Abstract

We study discrete analogues of holomorphic functions of one and two variables, especially those that were called monodiffric functions of the first kind by Rufus Isaacs. Discrete analogues of the Cauchy-Riemann operators, domains of holomorphy in one discrete variable, and the Hartogs phenomenon in two discrete variables are investigated.

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Authors and Affiliations

  1. Department of Mathematics, Uppsala University, P.O.Box 480, SE-75106, Uppsala, Sweden

    Christer O. Kiselman

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  1. Christer O. Kiselman
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Correspondence to Christer O. Kiselman.

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Kiselman, C.O. Functions on discrete sets holomorphic in the sense of isaacs, or monodiffric functions of the first kind. Sci. China Ser. A-Math. 48 (Suppl 1), 86–96 (2005). https://doi.org/10.1007/BF02884698

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