Hostname: page-component-745bb68f8f-cphqk Total loading time: 0 Render date: 2025-01-22T05:55:24.205Z Has data issue: false hasContentIssue false
  • English
  • Français

Lacunary sets for connected and totally disconnected compact groups

Published online by Cambridge University Press:  17 April 2009

Michael Frank Hutchinson
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Abstracts of Australasian PhD theses
Information
Bulletin of the Australian Mathematical Society , Volume 18 , Issue 1 , February 1978 , pp. 149 - 151
Copyright
Copyright © Australian Mathematical Society 1978

References

[1]Cecchini, Carlo, “Lacunary Fourier series on compact Lie groups”, J. Functional Analysis 11 (1972), 191–203.CrossRefGoogle Scholar
[2]Dornhoff, Larry, Group representation theory. Part A: Ordinary representation theory (Pure and Applied Mathematics, 7. Marcel Dekker, New York, 1971).Google Scholar
[3]Hewitt, Edwin, Ross, Kenneth A., Abstract harmonic analysis, Volume II (Die Grundlehren der mathematischen Wissenschaften, 152. Springer-Verlag, Berlin, Heidelberg, New York, 1970).Google Scholar
[4]Hutchinson, M.F., “Non–tall compact groups admit infinite Sidon sets”, J. Austral. Math. Soc. Ser. A (to appear).Google Scholar
[5]McMullen, John R., “Compact torsion groups”, Proc. Second Internat. Conf. Theory of Groups, Canberra, 1973, 453–462 (Lecture Notes in Mathematics, 372. Springer-Verlag, Berlin, Heidelberg, New York, 1974).CrossRefGoogle Scholar
[6]Parker, Willard A., “Central Sidon and central Λp sets”, J. Austral. Math. Soc. 14 (1972), 62–74.CrossRefGoogle Scholar
[7]Price, J.F., “Local Sidon sets and uniform convergence of Fourier series”, Israel J. Math. 17 (1974), 169–175.CrossRefGoogle Scholar
[8]Rider, Daniel, “Central lacunary sets”, Monatsh. Math. 76 (1972), 328–338.CrossRefGoogle Scholar