Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

On a class of Riesz-Fischer sequences

Author(s): Robert M. Young
Journal: Proc. Amer. Math. Soc. 126 (1998), 1139-1142.
MSC (1991): Primary 42A80
MathSciNet review: 1452835
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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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