Multidimensional versions of Poincaré's theorem for difference equations
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Publication:3600777
DOI10.1070/SM2008v199n10ABEH003970zbMath1159.39003OpenAlexW2001911168MaRDI QIDQ3600777
Mikael Passare, August Tsikh, Evgeniĭ Konstantinovich Leĭnartas
Publication date: 5 February 2009
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm2008v199n10abeh003970
Zero sets of holomorphic functions of several complex variables (32A60) Stability theory for difference equations (39A30)
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Recurrence relations for the sections of the generating series of the solution to the multidimensional difference equation ⋮ Amoebas of Cuspidal Strata for Classical Discriminant ⋮ On a Multidimensional Version of the Principal Theorem of Difference Equations with Constant Coefficients ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Amoebas of complex hypersurfaces in statistical thermodynamics ⋮ Unnamed Item ⋮ Evaluating the rational generating function for the solution of the Cauchy problem for a two-dimensional difference equation with constant coefficients ⋮ On amoebas of algebraic sets of higher codimension ⋮ Stability of the Cauchy problem for a multidimensional difference operator and the amoeba of the characteristic set ⋮ Solvability of the Cauchy problem for a polynomial difference operator and monomial bases for the quotients of a polynomial ring
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