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• W3200727641 startingPage "2289" @default.
• W3200727641 abstract "Firstly, we recall the classical moment problem and some basic results related to it. By its formulation, this is an inverse problem: being given a sequence (yj)j∈ℕn of real numbers and a closed subset F⊆ℝn, n∈{1,2,…}, find a positive regular Borel measure μ on F such that ∫Ftjdμ=yj, j∈ℕn. This is the full moment problem. The existence, uniqueness, and construction of the unknown solution μ are the focus of attention. The numbers yj, j∈ℕn are called the moments of the measure μ. When a sandwich condition on the solution is required, we have a Markov moment problem. Secondly, we study the existence and uniqueness of the solutions to some full Markov moment problems. If the moments yj are self-adjoint operators, we have an operator-valued moment problem. Related results are the subject of attention. The truncated moment problem is also discussed, constituting the third aim of this work." @default.
• W3200727641 created "2021-09-27" @default.
• W3200727641 creator A5032816815 @default.
• W3200727641 date "2021-09-17" @default.
• W3200727641 modified "2023-09-23" @default.
• W3200727641 title "On the Moment Problem and Related Problems" @default.
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• W3200727641 doi "https://doi.org/10.3390/math9182289" @default.
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