Hostname: page-component-76c49bb84f-lvxqv Total loading time: 0 Render date: 2025-07-09T22:50:13.112Z Has data issue: false hasContentIssue false
  • English
  • Français

Central Sidon and central ∧p sets

Published online by Cambridge University Press:  09 April 2009

Willard A. Parker
Willard A. Parker
Affiliation:
University of Oregon and Kansas State University, U.S.A.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Central Sidon sets and central ∧p sets are defined and equivalent characterizations are given. It is shown that a central Sidon set with an upper bound on the degrees of its elements is a ∧p set (1 < p < ∞ ). The bound on the degrees is shown to be necessary by an example.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 14 , Issue 1 , July 1972 , pp. 62 - 74
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Hewitt, E. and Ross, K. A., Abstract Harmonic Analysis, I (Springer-Verlag, Berlin, 1963).Google Scholar
[2]Hewitt, E., and Ross, K. A., Abstract Harmonic Analysis, II (Springer-Verlag, Berlin, 1970).Google Scholar
[3]Dunkl, C. and Ramirez, D., ‘Sidon Sets on Compact Groups’, Manatsheft für Math. 75 (1971), 111–117.CrossRefGoogle Scholar
[4]Figa-Talamancà, A. and Rider, D., ‘A theorem of Littlewood and lacunary series for compact groups’, Pacific J. Math. 16 (1966), 505–514.CrossRefGoogle Scholar
[5]Rider, D., ‘Gap series on circles and spheres’, Canad. J. Math. 18 (1966), 389–398.CrossRefGoogle Scholar
[6]Hewitt, E., and Zuckerman, H. S., ‘Some theorems on lacunary Fourier series, with extensions to compact groups’, Trans. Amer. Math. Soc. 93 (1959), 1–19.CrossRefGoogle Scholar
[7]Rudin, W., Fourier Analysis on Groups (Interscience Publishers, New York, 1962).Google Scholar
[8]Gallagher, P., ‘Zeros of group characters’, Math. Z. 87 (1965), 363–364.CrossRefGoogle Scholar
[9]Ragozin, D., ‘Central measures on compact simple Lie groups’, (to appear).Google Scholar