Functions on discrete sets holomorphic in the sense of Ferrand, or monodiffric functions of the second kind

DOI10.1007/s11425-007-0192-3zbMath1151.39015OpenAlexW2006498747WikidataQ112879612 ScholiaQ112879612MaRDI QIDQ943410

Christer O. Kiselman

Publication date: 9 September 2008

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0192-3

zbMATH Keywords

fundamental solutionsdomain of holomorphydifference operatorholomorphic functionHartogs phenomenonCauchy-Riemann operatormonodiffric function

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Difference operators (39A70) Linear difference operators (47B39) Holomorphic functions of several complex variables (32A10)

Related Items (5)

Domains of holomorphy for Fourier transforms of solutions to discrete convolution equations ⋮ Hartogs phenomena for discrete \(k\)-Cauchy-Fueter operators ⋮ Cauchy problems for discrete holomorphic functions ⋮ The number of continuous curves in digital geometry ⋮ Unnamed Item

Cites Work

• Basic properties of discrete analytic functions
• Functions on discrete sets holomorphic in the sense of Isaacs, or monodiffric functions of the first kind
• Fundamental Solutions for Multivariate Difference Equations
• On finite difference potentials and their applications in a discrete function theory
• Über einige lineare partielle Differenzengleichungen mit konstanten Koeffizienten
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