Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-28T13:20:31.428Z Has data issue: false hasContentIssue false

Some results on the union of Helson sets

Published online by Cambridge University Press:  24 October 2008

E. Galanis
Affiliation:
Fitzwilliam College, Cambridge, England and Mittag-Leffler Institut, Djursholm 1, Sweden

Extract

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.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1971

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Kahane, J.-P. and Salem, R.Ensembles parfaits et series trigonométriques. (Hermann, Paris 1963).Google Scholar
(2)Rudin, W.Fourier analysis on groups. Interscience No. 12, 1969.Google Scholar
(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.Google Scholar
(4)Varopoulos, N. Th., Sur les ensembles de Kronecker. C.R. Acad. Sci. Paris Sér. A-B 268, (1969), 954957.Google Scholar
(5)Varopoulos, N. Th., Groups of continuous functions in harmonic analysis. Acta Math., 125 (1970), 109152.CrossRefGoogle Scholar
(6)Varopottlos, N. Th., Sur les ensembles parfaits et les séries trigonométriques. C.R. Acad. Sci. Paris Ser. A-B 260 (1965), 38313834.Google Scholar