Abstract
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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Andriyanov, G.I. Modified Moment Problem in Complex Domains. Mathematical Notes 72, 742–751 (2002). https://doi.org/10.1023/A:1021425526383
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DOI: https://doi.org/10.1023/A:1021425526383