Geodesic
Modified Moment Problem in Complex Domains
Matematičeskie zametki, Tome 72 (2002) no. 6, pp. 804-814

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We study the moment problem in a complex domain. The results obtained generalize and sharpen the well-known Kaz'min result. We also consider applications of these results to the Abel–Goncharov problem (the uniqueness and construction problem) and to the completeness problem for systems of analytic functions. 
@article{MZM_2002_72_6_a1,
     author = {G. I. Andriyanov},
     title = {Modified {Moment} {Problem} in {Complex} {Domains}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {804--814},
     publisher = {mathdoc},
     volume = {72},
     number = {6},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a1/}
}
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G. I. Andriyanov. Modified Moment Problem in Complex Domains. Matematičeskie zametki, Tome 72 (2002) no. 6, pp. 804-814. http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a1/