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Lipschitz classes on 0-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

1. Let G be a compact metric 0-dimensional Abelian group. Its dual or character group Γ is a discrete countable torsion group. We denote elements of G by x, of Γ by y, the value of the character y at x by (x, y), and the Fourier transform of f by

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 4 , October 1967 , pp. 923 - 928
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

(1)Zygmund, A.Trigonometric series, 2nd ed. (Cambridge, 1959).Google Scholar
(2)Kahane, J. P. and Salem, R.Ensembles parfaits et séries trigonométriques (Paris 1963).Google Scholar
(3)Rudin, W.Fourier analysis on groups (New York 1962).Google Scholar