Local moment problem |
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| Authors: | Vadym Adamyan Igor Tkachenko |
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| Institution: | 1. Odessa National I.I. Mechnikov University, 65082 Odessa, Ukraine;2. Odessa National I.I. Mechnikov University, 65082 Odessa, Ukraine
Polytechnical University of Valencia, 46022 Valencia, Spain |
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| Abstract: | The work is devoted to the local moment problem, which consists in finding of non-decreasing functions on the real axis having given first 2n + 1, n ≥ 0, power moments on the whole axis and also 2m + 1 first power moments on a certain finite axis interval. Considering the local moment problem as a combination of the Hausdorff and Hamburger truncated moment problems we obtain the conditions of its solvability and describe the class of its solutions with minimal number of growth points if the problem is solvable. (© 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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