A problem of Wiener and the failure of a principle for Fourier series with positive coefficients
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- by Stephen Wainger
- Proc. Amer. Math. Soc. 20 (1969), 16-18
- DOI: https://doi.org/10.1090/S0002-9939-1969-0236397-8
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References
- R. P. Boas, Entire functions, Academic Press, New York, 1964; pp. 242, 250.
- R. P. Boas Jr., Fourier series with positive coefficients, J. Math. Anal. Appl. 17 (1967), 463–483. MR 204954, DOI 10.1016/0022-247X(67)90134-5 —, Integrability theorems for trigonometric transforms, Springer-Verlag, Berlin, 1967. G. H. Hardy, A theorem concerning Taylor’s series, Quart. J. Pure Appl. Math. 44 (1913), 147-160.
- A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 20 (1969), 16-18
- MSC: Primary 30.67; Secondary 42.00
- DOI: https://doi.org/10.1090/S0002-9939-1969-0236397-8
- MathSciNet review: 0236397