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This article is cited in 3 scientific papers (total in 3 papers)
On a new discretization of complex analysis
I. A. Dynnikov Steklov Mathematical Institute of Russian Academy of Sciences
Abstract:
This paper develops an approach to discretization of complex analysis proposed by S. P. Novikov and the author in 2003. Under this approach discrete analytic functions are real-valued. It is shown that a large class of such functions on a lattice admits a canonical multiplication by the imaginary unit. Arbitrary lattices are considered for a triangular discretization and rhombic lattices for a quadrangular discretization.
Bibliography: 24 titles.
Keywords:
discrete analytic functions, discrete holomorphic functions, discretization of complex analysis.
Received: 18.09.2015
Citation:
I. A. Dynnikov, “On a new discretization of complex analysis”, Uspekhi Mat. Nauk, 70:6(426) (2015), 63–84; Russian Math. Surveys, 70:6 (2015), 1031–1050
Linking options:
https://www.mathnet.ru/eng/rm9687https://doi.org/10.1070/RM2015v070n06ABEH004973 https://www.mathnet.ru/eng/rm/v70/i6/p63
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