A note on a trigonometric moment problem

Author:
Robert M. Young

Journal:
Proc. Amer. Math. Soc. **49** (1975), 411-415

MSC:
Primary 42A80

DOI:
https://doi.org/10.1090/S0002-9939-1975-0367548-5

MathSciNet review:
0367548

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Abstract | References | Similar Articles | Additional Information

Abstract: A sequence is said to be an *interpolating sequence* for if the system of equations

*complete interpolating sequence*. It is shown that if the imaginary part of is uniformly bounded and if , then is a complete interpolating sequence and is a Schauder basis for . It is also shown that this result is sharp in the sense that the condition is not sufficient to guarantee that is an interpolating sequence.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1975-0367548-5

Keywords:
Interpolating sequence,
frames,
Paley-Wiener space

Article copyright:
© Copyright 1975
American Mathematical Society