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February 2007 Basis properties and complements of complex exponential systems
Akihiro NAKAMURA
Hokkaido Math. J. 36(1): 193-206 (February 2007). DOI: 10.14492/hokmj/1285766658

Abstract

In this note, we show that some families of complex exponentials are either Riesz sequences or not basic sequences in $L^2[-\pi,\pi]$. Besides, we show that every incomplete complex exponential system satisfying some condition can be complemented up to a complete and minimal system of complex exponentials in $L^2[-\pi,\pi]$.

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Akihiro NAKAMURA. "Basis properties and complements of complex exponential systems." Hokkaido Math. J. 36 (1) 193 - 206, February 2007. https://doi.org/10.14492/hokmj/1285766658

Information

Published: February 2007
First available in Project Euclid: 29 September 2010

zbMATH: 1138.42304
MathSciNet: MR2309829
Digital Object Identifier: 10.14492/hokmj/1285766658

Subjects:
Primary: 42C15
Secondary: 42C30 , 42C99

Keywords: complete and minimal sequence , Riesz basis , Riesz sequence

Rights: Copyright © 2007 Hokkaido University, Department of Mathematics

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Vol.36 • No. 1 • February 2007
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