Linear continuous operators for the Stieltjes moment problem in Gelfand-Shilov spaces

被引：6
|
作者：
Lastra, Alberto [1 ]
Sanz, Javier [1 ]
机构：
[1] Univ Valladolid, Fac Ciencias, Dept Anal Matemat & Didact Matemat, E-47005 Valladolid, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 340卷 / 02期
关键词：
Stieltjes moment problem; Gelfand-Shilov spaces; Gevrey asymptotics;
D O I：
10.1016/j.jmaa.2007.09.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain linear continuous operators providing a solution to the Stieltjes moment problem in the framework of Gelfand-Shilov spaces of rapidly decreasing smooth functions. The construction rests on an interpolation procedure due to R. Estrada for general rapidly decreasing smooth functions, and adapted by S.-Y Chung, D. Kim and Y. Yeom to the case of Gelfand-Shilov spaces. It requires a linear continuous version of the so-called Borel-Ritt-Gevrey theorem in asymptotic theory. (C) 2007 Elsevier Inc. All rights reserved.
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页码：968 / 981
页数：14
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