Solving the truncated moment problem solves the full moment problem

By Jan Stochel. Glasgow Mathematical Journal, 2001

73 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/04f9d6816fde9efdadf935b1d0744f23d9983efb

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In Control and Systems Engineering

1. L. Fialkow
2. Monique Laurent
3. Daniel D. Molzahn
4. Cédric Josz
5. R. Curto
6. Bernard Mourrain

Citations in the corpus

• A generalized flat extension theorem for moment matrices (2009, background): “Indeed, Stochel [ 20 ] shows that a sequence y =( ya)a∈Mn has a representing measure if and only if the truncated sequence (ya)a∈Mn,t has a representing measure for all t ∈ N.”
• An analogue of the Riesz–Haviland theorem for the truncated moment problem (2008, background): “The result now follows from Stochel’s Theorem [ St2 ].”
• Moment/Sum-of-Squares Hierarchy for Complex Polynomial Optimization (2015, background): “to other branches of mathematics such as functional analysis and spectral theory of operators [2]. It has been studied by Atzmon [7], Schmu¨dgen [76], Putinar [69], Curto and Fialkow [22–24], Stochel [83], and Vasilescu [90]. For example, Atzmon [7, Theorem 2.1] proved that the solutions to the comp”