ON NONSINGULAR EMBRY QUARTIC MOMENT PROBLEM

Title & Authors
ON NONSINGULAR EMBRY QUARTIC MOMENT PROBLEM
Li, Chungji; Sun, Xiaoyun;

Abstract
Given a collection of complex numbers $\small{{\gamma}{\equiv}\{{\gamma}ij\}}$ $\small{(0{\leq}i+j{\leq}2n,\;|i-j|{\leq}n)}$ with $\small{{\gamma}00}$>$\small{0\;and\;{\gamma}ji=\bar{\gamma}ij}$, we consider the moment problem for $\small{{\gamma}}$ in the case of n=2, which is referred to Embry quartic moment problem. In this note we give a partial solution for the nonsingular case of Embry quartic moment problem.
Keywords
truncated complex moment problem;representing measure;nonsingular quartic moment problem;fiat extension;
Language
English
Cited by
References
1.
R. Curto and L. A. Fialkow, Solution of the truncated complex moment problem for flat data, Mem. Amer. Math. Soc. 119 (1996), no. 568, x+52 pp

2.
R. Curto, Flat extensions of positive moment matrices: recursively generated relations, Mem. Amer. Math. Soc. 136 (1998), no. 648, x+56 pp

3.
R. Curto, Solution of the singular quartic moment problem, J. Operator Theory 48 (2002), no. 2, 315-354

4.
I. Jung, E. Ko, C. Li, and S. Park, Embry truncated complex moment problem, Linear Algebra and Appl. 375 (2003), 95-114

5.
C. Li, The singular Embry quartic moment problem, Hokkaido Math. J. 34 (2005), no. 3, 655-666

6.
C. Li and M. Cho, The quadratic moment matrix E(1), Sci. Math. Jpn. 57 (2003), no. 3, 559-567

7.
C. Li, I. Jung, and S. Park, Complex moment matrices via Halmos-Bram and Embry conditions, J. Korean Math. Soc., to appear

8.
C. Li and S. Lee, The quartic moment problem, J. Korean Math. Soc. 42 (2005), no. 4, 723-747

9.
Wolfram Research, Inc. Mathematica, Version 4.1, Wolfram Research Inc., Champaign, IL, 2001