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Almost Automorphic Integrals of Almost Automorphic Functions
Published online by Cambridge University Press: 20 November 2018
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Bochner has introduced the idea of almost automorphy in various contexts (see for example [1] and [2]). We shall use the following definition:
A measurable real valued function f of a real variable will be called almost automorphic if from every given infinite sequence of real numbers we can extract a subsequence {αn} such that
(i) exits for every real t but no kind of uniformity of convergence is stipulated;
(ii) exits for every t;
(iii) for every t.
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- Copyright © Canadian Mathematical Society 1972
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