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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Completeness and basis properties of complex exponentials


Authors: Raymond M. Redheffer and Robert M. Young
Journal: Trans. Amer. Math. Soc. 277 (1983), 93-111
MSC: Primary 42C30
MathSciNet review: 690042
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Abstract: This paper is concerned with what might be termed the "fine structure" of the completeness and basis properties of complex exponentials. We give new criteria for two sequences to have the same excess in the sense of Paley and Wiener, a result that illuminates and supplements a well-known completeness criterion of Levinson, and new examples and counterexamples pertaining to Riesz bases.


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DOI: https://doi.org/10.1090/S0002-9947-1983-0690042-8
Keywords: Complete system, excess, exact system, biorthogonal, Riesz basis
Article copyright: © Copyright 1983 American Mathematical Society