Article ID Journal Published Year Pages File Type
5778916 Indagationes Mathematicae 2017 9 Pages PDF
Abstract
We investigate the behavior of sequences (f(cnx)) for Lebesgue integrable functions f:Rd→R. In particular, we give a description of classes of multipliers (cn) and (dn) such that f(cnx)→0 or ∑n=1∞|f(dnx)|<∞ for λ almost every x∈Rd.
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Physical Sciences and Engineering Mathematics Mathematics (General)
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On the behavior of Lebesgue integrable functions at infinity
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