Wiener's positive Fourier coefficients theorem in variants of Lp spaces
J.M. Ash, S. Tikhonov, and J. Tung
Source: Michigan Math. J. Volume 59, Issue 1
(2010), 143-152.
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Permanent link to this document: http://projecteuclid.org/euclid.mmj/1272376029
Digital Object Identifier: doi:10.1307/mmj/1272376029
Mathematical Reviews number (MathSciNet): MR2654143
References
J. M. Ash, M. Rains, and S. Vági, Fourier series with positive coefficients, Proc. Amer. Math. Soc. 101 (1987), 392--393.
R. P. Boas, Entire functions, Academic Press, New York, 1964.
C. N. Kellogg, An extension of the Hausdorff--Young theorem, Michigan Math. J. 18 (1971), 121--127.
Mathematical Reviews (MathSciNet): MR280995
Digital Object Identifier: doi:10.1307/mmj/1029000635
Project Euclid: euclid.mmj/1029000635
H. S. Shapiro, Majorant problems for Fourier coefficients, Quart. J. Math. Oxford Ser. (2) 26 (1975), 9--18.
Mathematical Reviews (MathSciNet): MR372515
Zentralblatt MATH: 0302.42004
Digital Object Identifier: doi:10.1093/qmath/26.1.9
J. Tung, Taylor coefficients of functions in Fock spaces, J. Math. Anal. Appl. 318 (2006), 397--409.
Mathematical Reviews (MathSciNet): MR2215157
Zentralblatt MATH: 1096.30024
Digital Object Identifier: doi:10.1016/j.jmaa.2005.05.061
S. Wainger, A problem of Wiener and the failure of a principle for Fourier series with positive coefficients, Proc. Amer. Math. Soc. 20 (1969), 16--18.
A. Zygmund, Trigonometric series, 2nd ed., vol. 2, Cambridge Univ. Press, London, 1958.
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