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THE QUARTIC MOMENT PROBLEM
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 Title & Authors
THE QUARTIC MOMENT PROBLEM
Li, Chun-Ji; Lee, Sang-Hoon;
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 Abstract
In this paper, we consider the quartic moment problem suggested by Curto-Fialkow[6]. Given complex numbers , with ${\gamma00},\;>0\;and\;{\gamma}_{ji}={\gamma}_{ij}$ we discuss the conditions for the existence of a positive Borel measure , supported in the complex plane C such that . We obtain sufficient conditions for flat extension of the quartic moment matrix M(2). Moreover, we examine the existence of flat extensions for nonsingular positive quartic moment matrices M(2).ᬊ꼀Ѐ〷〻ഀ䝥湥牡氠睯牫猀
 Keywords
the quartic moment problem;representing measure;flat extension;
 Language
English
 Cited by
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2.
ON NONSINGULAR EMBRY QUARTIC MOMENT PROBLEM,;;

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3.
COMPLEX MOMENT MATRICES VIA HALMOS-BRAM AND EMBRY CONDITIONS,;;;

대한수학회지, 2007. vol.44. 4, pp.949-970 crossref(new window)
4.
ESTIMATING THE DOMAIN OF ATTRACTION VIA MOMENT MATRICES,;;;;

대한수학회보, 2009. vol.46. 6, pp.1237-1248 crossref(new window)
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A Cyclic Subnormal Completion of Complex Data,;;;

Kyungpook mathematical journal, 2014. vol.54. 2, pp.157-163 crossref(new window)
1.
A Cyclic Subnormal Completion of Complex Data, Kyungpook mathematical journal, 2014, 54, 2, 157  crossref(new windwow)
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Positivity of Riesz functionals and solutions of quadratic and quartic moment problems, Journal of Functional Analysis, 2010, 258, 1, 328  crossref(new windwow)
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