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Rudin-Shapiro sequences on compact groups

Published online by Cambridge University Press:  17 April 2009

Alessandro Figà-Talamanca  and
J.F. Price
Alessandro Figà-Talamanca
Affiliation:
Istituto di Matematica, Università di Genova, Genova, Italy;
J.F. Price
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Australian National University, Canberra, ACT.
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Abstract

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The existence of a certain type of Rudin-Shapiro sequence of functions is shown for all infinite compact groups which are not Lie, thus extending a recent result of the authors to all infinite compact groups.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 8 , Issue 2 , April 1973 , pp. 241 - 245
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Figà-Talamanca, Alessandro and Price, J.F., “Applications of random Fourier series over compact groups to Fourier multipliers”, Pacific J. Math. 43 (1972), 431–441.CrossRefGoogle Scholar
[2]Hewitt, Edwin and Ross, Kenneth A., Abstract harmonic analysis, Volumes I and II (Grundlehren der mathematischen Wissenschaften, Bände 115, 152. Springer-Verlag, Berlin, Heidelberg, New York, 1963, 1970).Google Scholar