AIMS Mathematics, 2017, 2(2): 305-314. doi: 10.3934/Math.2017.2.305 Research article

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

1 Faculty of Education,University of Erciyes Melikgazi 38039, Kayseri, Turkey
2 Mechanics and Mathematics Faculty,National University of Uzbekistan ,Tashkent, Uzbekistan

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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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Copyright Info: © 2017, Onur Alp Ilhan, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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