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Lipschitz classes on finite dimensional groups

Published online by Cambridge University Press:  24 October 2008

P. L. Walker
P. L. Walker
Affiliation:
University of Lancaster
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Extract

In this paper G will denote a compact metric Abelian group having finite topological dimension, dim G. The discrete dual group of G will be denoted by Γ. The metric on G will be denoted by d(x, y), or |x-y| since translation-invariance is assumed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 1 , July 1969 , pp. 31 - 38
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Walker, P. L.Lipschitz classes on O-dimensional groups. Proc. Cambridge Philos. Soc. 63 (1967), 923–8.CrossRefGoogle Scholar
(2)Hewitt, E. and Ross, K. A.Abstract harmonic analysis, vol. I (Berlin, 1963).Google Scholar
(3)Pontryagin, L. S. and Schntrelman, L.Sut une propriété mérique de la dimension. Ann. of Math. 33 (1932), 156–162.CrossRefGoogle Scholar