Open AccessFunctions on discrete sets holomorphic in the sense of isaacs, or monodiffric functions of the first kind
Author(s) -
Christer O. Kiselman
Publication year - 2005
Publication title -
science in china series a mathematics
Language(s) - English
Resource type - Journals
ISSN - 1862-2763
DOI - 10.1007/bf02884698
Subject(s) - holomorphic function , cauchy distribution , pure mathematics , mathematics , variable (mathematics) , discrete variable , phenomenon , identity theorem , riemann hypothesis , mathematical analysis , philosophy , epistemology
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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