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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:

Authors : ;

Page : 85-93

Keywords : Basicity; System of sines; System of cosines; Morrey space;

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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

Last modified: 2021-11-03 14:29:36