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arxiv: 1504.03591 · v2 · pith:RK3XF7CJnew · submitted 2015-04-14 · 🧮 math.CA · math.FA

An elementary approach to asymptotic behavior in the Ces\`aro sense and applications to the Laplace and Stieltjes transforms

classification 🧮 math.CA math.FA
keywords approachapplicationsasymptoticbehaviorelementarylaplacesensestieltjes
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We present a elementary approach to asymptotic behavior of generalized functions in the Ces\`aro sense. Our approach is based on Yosida's subspace of Mikusi\'nski operators. Applications to Laplace and Stieltjes transforms are given.

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