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Local moment problem
Author(s) -
Adamyan Vadym,
Tkachenko Igor
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410471
Subject(s) - moment (physics) , moment problem , mathematics , interval (graph theory) , class (philosophy) , mathematical analysis , power (physics) , combinatorics , physics , computer science , classical mechanics , statistics , quantum mechanics , artificial intelligence , principle of maximum entropy
The work is devoted to the local moment problem , which consists in finding of non‐decreasing functions on the real axis having given first 2 n + 1, n ≥ 0, power moments on the whole axis and also 2 m + 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)