Document Type : Research Paper

Author

Ganja State University, Ganja, Azerbaijan.

Abstract

In this work systems of sines $\sin \left(n+\beta \right)t,\, \, n=1,2, \ldots,$ and cosines $\cos \left(n-\beta \right)t,\, \, n=0,1,2, \ldots,$ are considered, where $\beta \in R-$is a real parameter. The subspace $M^{p,\alpha } \left(0,\pi \right)$ of the Morrey space $L^{p,\alpha } \left(0,\pi \right)$ in which continuous functions are dense is considered. Criterion   for the completeness, minimality and basicity of these systems with respect to the parameter $\beta$  in the subspace  $M^{p,\alpha } \left(0,\pi \right)$, $1<p <+\infty,$  are  found.

Keywords

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