On a Multidimensional Version of the Principal Theorem of Difference Equations with Constant Coefficients

DOI10.17516/1997-1397-2022-15-1-125-132OpenAlexW4293173052MaRDI QIDQ5068382

Evgeny D. Leinartas, August Tsikh

Publication date: 6 April 2022

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu982

zbMATH Keywords

linear difference equationsmultiple rootscharacteristic set

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Linear difference equations (39A06)

Cites Work

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• The multiplicity of zero of a system of holomorphic functions
• The Cauchy problem for multidimensional difference equation with constant coefficients
• About a non-standard interpolation problem
• Briançon-Skoda Theorem for a Quotient Ring
• Multidimensional versions of Poincaré's theorem for difference equations
• Singular Points of Complex Hypersurfaces. (AM-61)

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