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On the Fourier transforms
Published online by Cambridge University Press: 17 April 2009
Abstract
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In this article we give a new proof of the theorem that a positive even convex function on the real line, which vanishes at infinity, is the Fourier transform of an integrable function. Related results in several variables are also proved. As an application of our results we solve the factorization problem of Sobolev algebras.
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- Copyright © Australian Mathematical Society 1985
References
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