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On the Extension of a Theorem of Caratheodory in the Theory of Fourier Series
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The aim of this paper is to prove certain results which are converses of the following theorem in the theory of Fourier Series.
THEOREM A . Let {fk(x)}, 0≤x≤2π, k-1, 2.........
be a uniformly bounded sequence of measurable functions convergent almost everywhere to a measurable function F(x).
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