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Lacunary sets for connected and totally disconnected compact groups

Published online by Cambridge University Press:  17 April 2009

Michael Frank Hutchinson
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Abstract

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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