Geodesic
On V-Extremal Solutions of the Moment Problem
Matematičeskie zametki, Tome 72 (2002) no. 3, pp. 396-407

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We study the density problem for a set of polynomials in the space $L_\sigma ^1(-\infty ,\infty )$, where $\sigma$ is a measure with finite moments. The approach to this problem is based on methods of the theory of moments, which allows one to formulate sufficient conditions in terms of Nevanlinna functions. 
@article{MZM_2002_72_3_a7,
     author = {M. Yu. Kuvshinov},
     title = {On {V-Extremal} {Solutions} of the {Moment} {Problem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {396--407},
     publisher = {mathdoc},
     volume = {72},
     number = {3},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_3_a7/}
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M. Yu. Kuvshinov. On V-Extremal Solutions of the Moment Problem. Matematičeskie zametki, Tome 72 (2002) no. 3, pp. 396-407. http://geodesic.mathdoc.fr/item/MZM_2002_72_3_a7/