Acknowledgement
Supported by : National Research Foundation of Korea (NRF)
References
- R. Curto and L. Fialkow, Solution of the truncated complex moment problem with flat data, Memoirs Amer. Math. Soc. no. 568, Amer. Math. Soc., Providence, 1996.
- R. Curto and L. Fialkow, Flat extensions of positive moment matrices: relations in analytic or conjugate terms, Nonselfadjoint operator algebras, operator theory, and related topics, 59-82, Oper. Theory Adv. Appl., 104, Birkhauser, Basel, 1998.
- R. Curto and L. Fialkow, Solution of the singular quartic moment problem, J. Operator Theory 48 (2002), no. 2, 315-354.
- R. Curto and L. Fialkow, Recursively determined representing measures for bivariate truncated moment sequences, J. Operator Theory 70 (2013), no. 2, 401-436. https://doi.org/10.7900/jot.2011sep06.1943
- R. Curto, L. Fialkow, and H. M. Moller, The extremal truncated moment problem, Integral Equations Operator Theory 60 (2008), no. 2, 177-200. https://doi.org/10.1007/s00020-008-1557-x
- R. Curto and S. Yoo, Cubic column relations in truncated moment problems, J. Funct. Anal. 266 (2014), no. 3, 1611-1626. https://doi.org/10.1016/j.jfa.2013.11.024
- R. Curto and S. Yoo, Non-extremal sextic moment problems, J. Funct. Anal. 269 (2015), no. 3, 758-780. https://doi.org/10.1016/j.jfa.2015.04.014
- R. Curto and S. Yoo, Concrete solution to the nonsingular quartic binary moment problem, Proc. Amer. Math. Soc. 144 (2016), no. 1, 249-258.
-
L. Fialkow, Solution of the truncated moment problem with variety y =
$x^3$ , Trans. Amer. Math. Soc. 363 (2011), no. 6, 3133-3165. https://doi.org/10.1090/S0002-9947-2011-05262-1 - L. Fialkow, The truncated moment problem on parallel lines, The varied landscape of operator theory, 109-126, Theta Ser. Adv. Math., Theta, Bucharest, 2014.
- L. Fialkow, Limits of positive flat bivariate moment matrices, Trans. Amer. Math. Soc. 367 (2015), no. 4, 2665-2702.
- L. Fialkow and J. Nie, Positivity of Riesz functionals and solutions of quadratic and quartic moment problems, J. Funct. Anal. 258 (2010), 328-356. https://doi.org/10.1016/j.jfa.2009.09.015
- R. Horn and C. Johnson, Matrix Analysis, Cambridge University Press, 1990.
- D. P. Kimsey, Matrix-Valued Moment Problems, ProQuest LLC, Ann Arbor, Ph.D. Thesis, Drexel University, 2011.
- D. P. Kimsey, The cubic complex moment problem, Integral Equations Operator Theory 80 (2014), no. 3, 353-378. https://doi.org/10.1007/s00020-014-2183-4
-
D. P. Kimsey and H. J. Woerdeman, The truncated matrix-valued K-moment problem on
${\mathbb{R}}^d$ ,${\mathbb{C}}^d$ , and${\mathbb{T}}^d$ , Trans. Am. Math. Soc. 365 (2013), no. 10, 5393-5430. https://doi.org/10.1090/S0002-9947-2013-05812-6 - J. L. Smul'jan, An operator Hellinger integral, Mat. Sb. 91 (1959), no. 1, 381-430.
- J. Stochel, Solving the truncated moment problem solves the full moment problem, Glasg. Math. J. 43 (2001), no. 3, 335-341. https://doi.org/10.1017/S0017089501030130
- S. Yoo, Extremal sextic truncated moment problems, Thesis (Ph.D.) The University of Iowa, 2010.
- Wolfram Research, Inc., Mathematica, Version 10.3, Champaign, IL, 2015.
Cited by
- Sextic Moment Problems with a Reducible Cubic Column Relation vol.88, pp.1, 2017, https://doi.org/10.1007/s00020-017-2362-1