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Transforms which almost vanish at infinity

Published online by Cambridge University Press:  24 October 2008

Louis Pigno
Louis Pigno
Affiliation:
Kansas State University, Manhattan, Kansas
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Extract

Let be the circle group, M() the set of bounded Borel measures on and ℤ the additive group of integers. If μ ∈ M() and n ∈ ℤ, define

A well-known result of Rajchman states that

The following quantitative generalization of this result has been given in (2) by K. de Leeuw and Y. Katznelson.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 87 , Issue 1 , January 1980 , pp. 75 - 79
Copyright
Copyright © Cambridge Philosophical Society 1980

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References

REFERENCES

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