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.
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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/

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