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Modified Moment Problem in Complex Domains |
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| Authors: | Andriyanov G. I. |
| Affiliation: | (1) Kaluga Branch, N. É. Bauman Moscow State Technical University, Russia |
| 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. |
| Keywords: | moment problem modified moment problem Abel--Goncharov problem completeness problem analytic function |
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