The multidimensional truncated Moment Problem: Atoms, Determinacy, and Core Variety
Functional Analysis
2018-04-20 v2
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).
Keywords
Cite
@article{arxiv.1703.01497,
title = {The multidimensional truncated Moment Problem: Atoms, Determinacy, and Core Variety},
author = {Philipp J. di Dio and Konrad Schmüdgen},
journal= {arXiv preprint arXiv:1703.01497},
year = {2018}
}