On a class of Riesz-Fischer sequences
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- by Robert M. Young PDF
- Proc. Amer. Math. Soc. 126 (1998), 1139-1142 Request permission
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).References
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Additional Information
- Robert M. Young
- Affiliation: Department of Mathematics, Oberlin College, Oberlin, Ohio 44074
- Email: fyoungb@ocvaxa.cc.oberlin.edu
- Received by editor(s): September 23, 1996
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 1139-1142
- MSC (1991): Primary 42A80
- DOI: https://doi.org/10.1090/S0002-9939-98-04416-5
- MathSciNet review: 1452835