Completeness and basis properties of complex exponentials

Redheffer, Raymond M.; Young, Robert M.

doi:10.1090/S0002-9947-1983-0690042-8

Completeness and basis properties of complex exponentials
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by Raymond M. Redheffer and Robert M. Young PDF

Trans. Amer. Math. Soc. 277 (1983), 93-111 Request permission

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.

References

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Ganze Funktionen und Vollständigkeit

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