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A Strong Converse of the Wiener-Levy Theorem
Published online by Cambridge University Press: 20 November 2018
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Let A1 denote the class of all complex functions on the unit circle which are sums of absolutely convergent trigonometric series; that is to say, the class of all f of the form
Similarly, if 1 < p < ∞, let Ap be the class of all complex functions f on the circle whose Fourier coefficients
satisfy the condition
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- Copyright © Canadian Mathematical Society 1962
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