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A theorem on bounded synthesis

Published online by Cambridge University Press:  24 October 2008

E. Galanis
E. Galanis
Affiliation:
Fitzwilliam College, Cambridge
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Extract

Let G be a locally compact Abelian group.

DEFINITION 1. A compact subset K ⊂ G is called Kroneclcer set if for every continuous function f on K of modulus identically one (|f(x)| = 1, ∀x ∈ K) and for every ε 0 there exists x ∈ Ĝ such that

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 70 , Issue 1 , July 1971 , pp. 23 - 26
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

REFERENCES

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