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

Аннотация

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.

Темы

Идентификаторы

DOI

10.3934/math.2017.2.305

Цитирования и источники