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Real-variables characterization of generalized Stieltjes functions

期刊

EXPOSITIONES MATHEMATICAE
卷 28, 期 2, 页码 179-185

出版社

ELSEVIER GMBH, URBAN & FISCHER VERLAG
DOI: 10.1016/j.exmath.2009.06.004

关键词

Stieltjes function; Stieltjes transform; Generalized Stieltjes function; Generalized Stieltjes transform; Completely monotone function; Bernstein-Hausdorff-Widder theorem; Laplace transform; Hausdorff moment problem; Completely monotone sequence

资金

  1. U.S. National Science Foundation [PHY-00424082]

向作者/读者索取更多资源

We obtain a characterization of generalized Stieltjes functions of any order lambda > 0 in terms of inequalities for their derivatives on (0, infinity). When lambda = 1, this provides a new and simple proof of a characterization of Stieltjes functions first obtained by Widder in 1938. (C) 2009 Elsevier GmbH. All rights reserved.

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