Proceedings of the American Mathematical Society

Author(s): Robert M. Young
Journal: Proc. Amer. Math. Soc. 126 (1998), 1139-1142.
MSC (1991): Primary 42A80
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Abstract: In this note, we give necessary and sufficient conditions for a system of complex exponentials $\{e^{i\lambda _nt}\}$ to form a Riesz-Fischer sequence in $L^2(-A,A)$

for every positive number $A$

. The result provides a significant strengthening of the sufficient conditions recently stated by R. M. Reid (1995).

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 42A80

Robert M. Young
Affiliation: Department of Mathematics, Oberlin College, Oberlin, Ohio 44074
Email: fyoungb@ocvaxa.cc.oberlin.edu

DOI: 10.1090/S0002-9939-98-04416-5
PII: S 0002-9939(98)04416-5
Keywords: Riesz-Fischer sequence, moment problem, upper uniform density
Received by editor(s): September 23, 1996
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1998, American Mathematical Society

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