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

Abstract

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.

Keywords

• Banach Space| Hilbert Space| Sobolev Space| Normed Vector Space