On the property of bases of multiple systems in Sobolev-Liouville classes

In the present work we consider the question of preservation of the baseness property for the system of vectors $\varphi = {\left\{ {{\varphi _n}} \right\}_{n \in {Z^N}}}$ in the Sobolev-Liouville and Besov classes at small perturbations with the purpose of the further application of obtained results to study decomposition on root vectors of differential operators.

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