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The functions which operate on Fourier transforms. (English) Zbl 0091.10902


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[1] W. F. Eberlein, Characterizations of Fourier-Stieltjes transforms.Duke Math. J., 22 (1955), 465–468. · Zbl 0065.01603 · doi:10.1215/S0012-7094-55-02251-1
[2] I. Gelfand, Normierte Ringe,Mat. Sbornik, 9 (1941), 3–24.
[3] H. Helson &J.-P. Kahane, Sur les fonctions opérant dans les algèbres de transformées de Fourier de suites ou de fonctions sommables,C. R. Acad. Sci. Paris, 247 (1958), 626–628. · Zbl 0147.33704
[4] J.-P. Kahane &W. Rudin, Caractérisation des fonctions qui opèrent sur les coefficients de Fourier-Stieltjes,C. R. Acad. Sci. Paris, 247 (1958), 773–775. · Zbl 0090.04303
[5] I. Kaplansky,Infinite Abelian Groups. Ann. Arbor, 1954. · Zbl 0057.01901
[6] Y. Katznelson, Sur les fonctions opérant sur l’algèbre des séries de Fourier absolument convergentes.C. R. Acad. Sci Paris, 247 (1958), 404–406. · Zbl 0147.33703
[7] P. Lévy, Sur la convergence absolue des séries de Fourier.Composito, Math., 1 (1934), 1–14.
[8] L. H. Loomis,An Introduction to Abstract Harmonic Analysis, New York, 1953. · Zbl 0052.11701
[9] I. J. Schoenberg, A remark on the preceding note by Bochner.Bull. Amer. Math. Soc., 40 (1934), 277–278. · Zbl 0009.24704 · doi:10.1090/S0002-9904-1934-05845-2
[10] Yu. A. Šreider, The structure of maximal ideals in rings of measures with convolution.Mat. Sbornik N. S. 27 (69) 1950), 297–318;Amer. Math. Soc. Translation No. 81, Providence, 1953.
[11] A. Weil,L’intégration dans les groupes topologiques, Paris, 1953.
[12] N. Wiener, Tauberian Theorems.Ann of Math., 33 (1932), 1–100. · JFM 58.0226.02 · doi:10.2307/1968102
[13] N. Wiener &R. H. Pitt, On absolutely convergent Fourier-Stieltjes transforms.Duke Math. J., 4 (1938), 420–436. · JFM 64.0393.01 · doi:10.1215/S0012-7094-38-00435-1
[14] J. H. Williamson, On constructions of Wiener-Pitt and Šreider,Communication at International Congress of Mathematicians, Edinburgh, 1958.
[15] A. Zygmund,Trigonometrical Series, Warsaw, 1935. · Zbl 0011.01703
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