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
收藏
页码：968 / 981
页数：14
相关论文
共 50 条
  • [1] Stieltjes moment problem in general Gelfand-Shilov spaces
    Lastra, Alberto
    Sanz, Javier
    STUDIA MATHEMATICA, 2009, 192 (02) : 111 - 128
  • [2] Solution to the Stieltjes moment problem in Gelfand-Shilov spaces
    Debrouwere, Andreas
    STUDIA MATHEMATICA, 2020, 254 (03) : 295 - 323
  • [3] Every Stieltjes moment problem has solutions in Gelfand-Shilov spaces
    Chung, JY
    Chung, SY
    Kim, DH
    PROCEEDINGS OF THE SECOND ISAAC CONGRESS, VOLS 1 AND 2, 2000, 7 : 755 - 759
  • [4] Injectivity and surjectivity of the Stieltjes moment mapping in Gelfand-Shilov spaces
    Debrouwere, Andreas
    Jimenez-Garrido, Javier
    Sanz, Javier
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (04) : 3341 - 3358
  • [5] Modulation Spaces, Gelfand-Shilov Spaces and Pseudodifferential Operators
    Nenad Teofanov
    Sampling Theory in Signal and Image Processing, 2006, 5 (2): : 225 - 242
  • [6] ON GELFAND-SHILOV SPACES
    Lutsenko, A. V.
    Musin, I. Kh.
    Yulmukhametov, R. S.
    UFA MATHEMATICAL JOURNAL, 2023, 15 (03): : 88 - 96
  • [7] Fourier integral operators and Gelfand-Shilov spaces
    Cappiello, M
    Recent Advances in Operator Theory and Its Applications: The Israel Gohberg Anniversary Volume, 2005, 160 : 81 - 100
  • [8] Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces
    Gramchev, Todor
    Pilipovic, Stevan
    Rodino, Luigi
    NEW DEVELOPMENTS IN PSEUDO-DIFFERENTIAL OPERATORS, 2009, 189 : 15 - +
  • [9] QUASIANALYTIC GELFAND-SHILOV SPACES WITH APPLICATION TO LOCALIZATION OPERATORS
    Cordero, Elena
    Pilipovic, Steven
    Rodino, Luigi
    Teofanov, Nenad
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2010, 40 (04) : 1123 - 1147
  • [10] SG-pseudodifferential operators and Gelfand-Shilov spaces
    Cappiello, Marco
    Rodino, Luigi
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2006, 36 (04) : 1117 - 1148
12345