The aim of this paper is to prove several theorems of Radon-Nikodym-type, which hold both in real and non-archimedean integration theory. As an application of these theorems and of the classical Radon-Nikodym theorem, we give a description of the second dual\(\mathbb{D}\)(X,ℂ) of the space
of all continuous complex valued functions on the locally compact space X, which vanish at infinity.
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