Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-30T20:49:04.376Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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