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Fractional cartesian products of sets. (English) Zbl 0381.43003

MSC:
 43A25 Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups 43A46 Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.)
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References:
 [1] R. C. BLEI, Multidimensional extensions of the Grothendieck inequality (to appear in Arkiv für Mathematik). · Zbl 0461.43005 [2] A. BONAMI, Étude des coefficients de Fourier des fonctions de lp(G), Ann. Inst. Fourier, Grenoble, 20 (1970), 335-402. · Zbl 0195.42501 [3] M. BOZEJKO and T. PYTLIK, Some types of lacunary Fourier series, Colloq. Math., 25 (1972), 117-124. · Zbl 0249.43013 [4] R. E. EDWARDS and K. A. ROSS, P-sidon sets, J. of Functional Anal., 15 (1974), 404-427. · Zbl 0273.43007 [5] A. FIGÀ-TALAMANCA, An example in the theory of lacunary Fourier series, Boll. Unione Mat. Ital., 3 (1970), 375-378. · Zbl 0194.37001 [6] G. W. JOHNSON and G. S. WOODWARD, On p-sidon sets, Indiana Univ. Math. J., 24 (1974), 161-167. · Zbl 0285.43006 [7] J. E. LITTLEWOOD, On bounded bilinear forms in an infinite number of variables, Quartely J. Math., 1 (1930), 164-174. · JFM 56.0335.01 [8] G. PISIER, Ensembles de sidon et processus gaussiens (preprint). · Zbl 0374.43003 [9] W. RUDIN, Trigonometric series with gaps, J. Math. Mechanics, 9 (1960), 203-227. · Zbl 0091.05802 [10] W. RUDIN, Fourier analysis on groups, Interscience, New York, 1967. · Zbl 1361.43001
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