On a minimal solution for the indefinite multidimensional truncated moment problem

2021 ◽  
pp. 125091
Author(s):  
David P. Kimsey
Keyword(s):  
Moment Problem ◽  
Minimal Solution ◽  
Truncated Moment Problem

scholarly journals An analogue of the Riesz–Haviland theorem for the truncated moment problem

2008 ◽  
Vol 255 (10) ◽  
pp. 2709-2731 ◽  
Author(s):  
Raúl E. Curto ◽  
Lawrence A. Fialkow
Keyword(s):  
Moment Problem ◽  
Truncated Moment Problem

scholarly journals The truncated moment problem on N0

2017 ◽  
Vol 452 (1) ◽  
pp. 443-468 ◽  
Author(s):  
M. Infusino ◽  
T. Kuna ◽  
J.L. Lebowitz ◽  
E.R. Speer
Keyword(s):  
Moment Problem ◽  
Truncated Moment Problem

scholarly journals The multidimensional truncated moment problem: Atoms, determinacy, and core variety

2018 ◽  
Vol 274 (11) ◽  
pp. 3124-3148 ◽  
Author(s):  
Philipp J. di Dio ◽  
Konrad Schmüdgen
Keyword(s):  
Moment Problem ◽  
Truncated Moment Problem

scholarly journals The truncated moment problem via homogenization and flat extensions

2012 ◽  
Vol 263 (6) ◽  
pp. 1682-1700 ◽  
Author(s):  
Lawrence Fialkow ◽  
Jiawang Nie
Keyword(s):  
Moment Problem ◽  
Truncated Moment Problem

scholarly journals New Results on Markov Moment Problem

2013 ◽  
Vol 2013 ◽  
pp. 1-17 ◽  
Author(s):  
Octav Olteanu
Keyword(s):  
Moment Problem ◽  
Sufficient Conditions ◽  
Linear Operators ◽  
Moment Problems ◽  
Finite Dimensional ◽  
Integrable Functions ◽  
Truncated Moment Problem ◽  
Markov Moment ◽  
The Moment ◽  
Necessary And Sufficient

The present work deals with the existence of the solutions of some Markov moment problems. Necessary conditions, as well as necessary and sufficient conditions, are discussed. One recalls the background containing applications of extension results of linear operators with two constraints to the moment problem and approximation by polynomials on unbounded closed finite-dimensional subsets. Two domain spaces are considered: spaces of absolute integrable functions and spaces of analytic functions. Operator valued moment problems are solved in the latter case. In this paper, there is a section that contains new results, making the connection to some other topics: bang-bang principle, truncated moment problem, weak compactness, and convergence. Finally, a general independent statement with respect to polynomials is discussed.

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