On Markov Moment Problem and Related Inverse Problems

Olteanu, Octav (2019) On Markov Moment Problem and Related Inverse Problems. In: Advances in Mathematics and Computer Science Vol. 3. B P International, pp. 146-158.

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Abstract

Existence and construction of the solutions of some Markov moment problems are discussed. Starting from the
moments of a solution, one recalls a method of recovering this solution, also solving approximately related
systems with infinite many nonlinear equations and infinite unknowns. This is the first aim of this review paper.
Extension of linear forms with two constraints is applied. Measure theory arguments play a central role. Other
results in analysis and functional analysis are used tacitly, sending the reader to the references for unproved
stated theorems. Secondly, in the end, existence of solutions of special Markov moment problems is studied.

Item Type: Book Section
Subjects: Science Repository > Computer Science
Depositing User: Managing Editor
Date Deposited: 18 Nov 2023 05:06
Last Modified: 18 Nov 2023 05:06
URI: http://research.manuscritpub.com/id/eprint/3580

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