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On multipliers of Fourier transforms

Published online by Cambridge University Press:  24 October 2008

Louis Pigno
Louis Pigno
Affiliation:
Kansas State University
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Extract

In this paper G is a locally compact Abelian group, φ a complex-valued function defined on the dual Γ, Lp(G) (1 ≤ p ≤ ∞) the usual Lebesgue space of index p formed with respect to Haar measure, C(G) the set of all bounded continuous complex-valued functions on G, and C0(G) the set of all f ∈ C(G) which vanish at infinity.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 1 , January 1972 , pp. 63 - 66
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

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