Author:
Bloom Walter R.,Fournier John J. F.
Abstract
AbstractVarious criteria, in terms of forward differences and related operations on coefficients, are shown to imply that certain series on bounded Vilenkin groups represent integrable functions. These results include analogues of known integrability theorems for trigonometric series. The method of proof is to pass from the given series to a derived series, and to deduce the integrability of the original series from smoothness properties of the latter.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
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