# Cubic column relations in truncated moment problems

@inproceedings{Curto2013CubicCR,
title={Cubic column relations in truncated moment problems},
author={Raul Curto and Seonguk Yoo},
year={2013}
}
For the truncated moment problem associated to a complex sequence $\gamma ^{(2n)}=\{\gamma _{ij}\}_{i,j\in Z_{+},i+j \leq 2n}$ to have a representing measure $\mu$, it is necessary for the moment matrix $M(n)$ to be positive semidefinite, and for the algebraic variety $\mathcal{V}_{\gamma}$ to satisfy $\operatorname{rank}\;M(n) \leq \;$ card$\;\mathcal{V}_{\gamma}$ as well as a consistency condition: the Riesz functional vanishes on every polynomial of degree at most $2n$ that vanishes on… CONTINUE READING

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