A note on the two-sided two-dimensional moment problem

被引:0
|
作者
Bisgaard, TM
机构
关键词
sequence; two-dimensional; two-sided; positive semidefinite; completely positive semidefinite; moment sequence; Stieltjes moment sequence;
D O I
10.1023/B:AMHU.0000003904.79794.ee
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is shown that there is a positive semidefinite two-sided two-dimensional sequence f, which is not a moment sequence, such that log f (2m, 2n) = 0(m(2) + n(2)) as (m, n) --> infinity.
引用
收藏
页码:203 / 209
页数:7
相关论文
共 50 条
  • [1] A note on the two-sided two-dimensional moment problem
    T. M. Bisgaard
    Acta Mathematica Hungarica, 2003, 101 : 203 - 209
  • [2] A NOTE ON THE TWO-DIMENSIONAL MOMENT PROBLEM
    FRIEDRICH, J
    MATHEMATISCHE NACHRICHTEN, 1985, 121 : 285 - 286
  • [3] Inverse two-sided z transform and moment problem
    Tagliani, A
    APPLIED MATHEMATICS AND COMPUTATION, 1998, 95 (2-3) : 125 - 138
  • [4] ON THE TWO-DIMENSIONAL MOMENT PROBLEM
    Zagorodnyuk, Sergey
    ANNALS OF FUNCTIONAL ANALYSIS, 2010, 1 (01): : 80 - 104
  • [5] A TWO-DIMENSIONAL MOMENT PROBLEM
    PUTINAR, M
    JOURNAL OF FUNCTIONAL ANALYSIS, 1988, 80 (01) : 1 - 8
  • [6] On a two-sided Turan problem
    Mubayi, D
    Zhao, Y
    ELECTRONIC JOURNAL OF COMBINATORICS, 2003, 10 (01):
  • [7] ON THE TRUNCATED TWO-DIMENSIONAL MOMENT PROBLEM
    Zagorodnyuk, Sergey
    ADVANCES IN OPERATOR THEORY, 2018, 3 (02): : 388 - 399
  • [8] THE TWO-DIMENSIONAL MOMENT PROBLEM IN A STRIP
    Zagorodnyuk, S. M.
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2013, 19 (01): : 40 - 54
  • [9] Stability of two-dimensional flow in two-sided lid-driven cavities
    Kuhlmann, HC
    Wanschura, M
    Rath, HJ
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1997, 77 : S179 - S180
  • [10] A Two-Sided Contracting Stefan Problem
    Chayes, Lincoln
    Kim, Inwon C.
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2008, 33 (12) : 2225 - 2256