ON THE TWO-DIMENSIONAL MOMENT PROBLEM

被引：4
作者：
Zagorodnyuk, Sergey [1 ]
机构：
[1] Kharkov Natl Univ, Sch Math & Mech, UA-61077 Kharkov, Ukraine
来源：
ANNALS OF FUNCTIONAL ANALYSIS | 2010年 / 1卷 / 01期
关键词：
Moment problem; Hilbert space; linear equation;
D O I：
10.15352/afa/1399900996
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we obtain an algorithm towards solving the two-dimensional moment problem. This algorithm gives the necessary and sufficient conditions for the solvability of the moment problem. It is shown that all solutions of the moment problem can be constructed using this algorithm. In a consequence, analogous results are obtained for the complex moment problem.
引用
收藏
页码：80 / 104
页数：25
相关论文
共 50 条
  • [21] INDEFINITE MOMENT PROBLEM AS AN ABSTRACT INTERPOLATION PROBLEM
    Neiman, Evgen
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2013, 19 (02): : 168 - 186
  • [22] On Two-Dimensional Model Representations of One Class of Commuting Operators
    Hatamleh, R.
    Zolotarev, V. A.
    UKRAINIAN MATHEMATICAL JOURNAL, 2014, 66 (01) : 122 - 144
  • [23] On Two-Dimensional Model Representations of One Class of Commuting Operators
    R. Hatamleh
    V. A. Zolotarev
    Ukrainian Mathematical Journal, 2014, 66 : 122 - 144
  • [24] Approximation and the Multidimensional Moment Problem
    Olteanu, Octav
    AXIOMS, 2025, 14 (01)
  • [25] Moment problem for effect algebras
    Miloslav Duchoň
    Anatolij Dvurečenskij
    Paolo de Lucia
    International Journal of Theoretical Physics, 1997, 36 : 1941 - 1958
  • [26] The moment problem on the Wiener space
    Albeverio, Sergio
    Herzberg, Frederik
    BULLETIN DES SCIENCES MATHEMATIQUES, 2008, 132 (01): : 7 - 18
  • [27] Multivariate distributions and the moment problem
    Kleiber, Christian
    Stoyanov, Jordan
    JOURNAL OF MULTIVARIATE ANALYSIS, 2013, 113 : 7 - 18
  • [28] A moment problem on rational numbers
    Furuta, Koji
    HOKKAIDO MATHEMATICAL JOURNAL, 2017, 46 (02) : 209 - 226
  • [29] The favoured solutions of the moment problem
    Oravecz, F
    ACTA MATHEMATICA HUNGARICA, 2001, 92 (03) : 173 - 177
  • [30] The Cubic Complex Moment Problem
    David P. Kimsey
    Integral Equations and Operator Theory, 2014, 80 : 353 - 378
12345