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Some results on the union of Helson sets

  • E. Galanis (a1)
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Let G be a compact abelian group and let Ĝ be its dual group. We shall denote by M(G) the set of all bounded complex valued Radon measures on G and by M(E) the elements of M(G) with support in a compact subset E of G.

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(1)Kahane, J.-P. and Salem, R.Ensembles parfaits et series trigonométriques. (Hermann, Paris 1963).
(2)Rudin, W.Fourier analysis on groups. Interscience No. 12, 1969.
(3)Drury, S., Sur les ensembles de type K dans les groups compacts abéliens métr d'ordre borné. C.R. Acad. Sci. Paris Sér. A-B 268 (1969), 775777.
(4)Varopoulos, N. Th., Sur les ensembles de Kronecker. C.R. Acad. Sci. Paris Sér. A-B 268, (1969), 954957.
(5)Varopoulos, N. Th., Groups of continuous functions in harmonic analysis. Acta Math., 125 (1970), 109152.
(6)Varopottlos, N. Th., Sur les ensembles parfaits et les séries trigonométriques. C.R. Acad. Sci. Paris Ser. A-B 260 (1965), 38313834.
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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