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.

引用

页码：968 / 981

页数：14

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