Geodesic
On the solutions of polynomial growth for a multidimensional generalized Cauchy–Riemann system
Ufa mathematical journal, Tome 7 (2015) no. 3, pp. 3-8 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a multidimensional generalized Cauchy–Riemann system we study the Noether property in Hölder spaces of functions bounded on the whole plane. For the case of constant coefficients we consider the solutions defined on the whole plane or on the half-plane and having a polynomial growth at the infinity. For the two- and three-dimensional cases we find appropriate conditions for the coefficients ensuring that the solutions to the first problem is finite-dimensional or zero or infinite-dimensional, respectively.
Keywords: multidimensional generalized of Cauchy–Riemann systems, solutions of polynomial growth, Noether property.
Mots-clés : Hölder space 
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S. Baizaev. On the solutions of polynomial growth for a multidimensional generalized Cauchy–Riemann system. Ufa mathematical journal, Tome 7 (2015) no. 3, pp. 3-8. http://geodesic.mathdoc.fr/item/UFA_2015_7_3_a0/

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