On the Basicity of Systems of Sines and Cosines with a Linear Phase in Morrey-Type Spaces
Journal: Sahand Communications in Mathematical Analysis (Vol.17, No. 4)Publication Date: 2020-11-01
Authors : Fidan Seyidova;
Page : 85-93
Keywords : Basicity; System of sines; System of cosines; Morrey space;
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
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