The multidimensional truncated Moment Problem: Atoms, Determinacy, and Core Variety

Abstract

This paper is about the moment problem on a finite-dimensional vector space of continuous functions. We investigate the structure of the convex cone of moment functionals (supporting hyperplanes, exposed faces, inner points) and treat various important special topics on moment functionals (determinacy, set of atoms of representing measures, core variety).

Cited by in corpus (7)

• The multidimensional truncated Moment Problem: Carathéodory Numbers
• On generalization in moment-based domain adaptation
• The strong truncated Hamburger moment problem with and without gaps
• Estimation of multivariate generalized gamma convolutions through Laguerre expansions
• The truncated Hamburger moment problems with gaps in the index set
• Moment-Based Domain Adaptation: Learning Bounds and Algorithms
• The truncated moment problem on the union of parallel lines