Systems of dilated functions: Completeness, minimality, basisness

The completeness, minimality, and basis property in L 2 [0, π ] and L p [0, π ], p ≠ 2, are considered for systems of dilated functions u n ( x ) = S ( nx ), n ∈ N, where S is the trigonometric polynomial S ( x ) = Σ k =0 m a k sin( kx ), a 0 a m ≠ 0. A series of results are presented and several un...

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Veröffentlicht in:	Functional analysis and its applications 2017-07, Vol.51 (3), p.236-239
1. Verfasser:	Mityagin, B. S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Brief Communications Completeness Functional Analysis Functions (mathematics) Mathematical analysis Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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