On a minimal solution for the indefinite multidimensional truncated moment problem

DOI10.1016/j.jmaa.2021.125091zbMath1481.47017arXiv2006.08692OpenAlexW3131741006MaRDI QIDQ2661254

David P. Kimsey

Publication date: 3 April 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08692

zbMATH Keywords

truncated moment problemPontryagin spaceindefinite moment problemsigned representing measure

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems (44A60)

Related Items

The truncated moment problem on the union of parallel lines, The strong truncated Hamburger moment problem with and without gaps

Cites Work

• The truncated moment problem via homogenization and flat extensions
• Solution of the truncated hyperbolic moment problem
• The subnormal completion problem in several variables
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• Functions with a finite number of negative squares on semigroups
• The quadratic moment problem for the unit circle and unit disk
• The multidimensional truncated moment problem: Carathéodory numbers
• The multidimensional truncated moment problem: atoms, determinacy, and core variety
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• Complex orthogonal polynomials and numerical quadrature via hyponormality
• The truncated matrix-valued $K$-moment problem on $\mathbb {R}^d$, $\mathbb {C}^d$, and $\mathbb {T}^d$
• Solution of the truncated moment problem with variety 𝑦=𝑥³
• Flat extensions of positive moment matrices: recursively generated relations
• Truncated moment problems in the class of generalized Nevanlinna functions
• Solution of the truncated complex moment problem for flat data
• The Moment Problem
• Recursively determined representing measures for bivariate truncated moment sequences
• Limits of positive flat bivariate moment matrices
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