On Markov Moment Problem and Related Inverse Problems | Chapter 11 | Advances in Mathematics and Computer Science Vol. 3
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.
Author(s) Details
Octav Olteanu
Department of
Mathematics-Informatics, Politehnica University of Bucharest, Splaiul
Independenței 313, 060042 Bucharest, Romania.
View Volume: https://doi.org/10.9734/bpi/amacs/v3
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