Local moment problem

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 c...

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Bibliographic Details
Published in:Proceedings in applied mathematics and mechanics 2014-12, Vol.14 (1), p.981-982
Main Authors: Adamyan, Vadym, Tkachenko, Igor
Format: Article
Language:English
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Summary: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)
ISSN:1617-7061
1617-7061
DOI:10.1002/pamm.201410471