Fourier series with positive coefficients
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- by J. Marshall Ash, Michael Rains and Stephen Vági PDF
- Proc. Amer. Math. Soc. 101 (1987), 392-393 Request permission
Abstract:
Extending a result of N. Wiener, it is shown that functions on the circle with positive Fourier coefficients that are $p$th power integrable near $0,1 < p \leq 2$, have Fourier coefficients in ${l^{p’}}$.References
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R. P. Boas, Entire functions, Academic Press, New York, 1964.
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 101 (1987), 392-393
- MSC: Primary 42A32; Secondary 42A16, 43A15
- DOI: https://doi.org/10.1090/S0002-9939-1987-0902561-6
- MathSciNet review: 902561