Multivariate Determinateness
Mihai Putinar, Konrad Schm\"udgen
TL;DR
This paper reviews and develops new criteria for the multivariate moment problem's uniqueness, employing various mathematical methods such as operator theory, complex analysis, and polynomial approximation.
Contribution
It provides a comprehensive review and introduces new determinacy criteria for the multivariate moment problem using diverse mathematical approaches.
Findings
Most known results in the multi-dimensional case are reviewed and reproved.
New determinacy criteria are developed.
Multiple methods like Hilbert space operators and integral geometry are employed.
Abstract
The uniqueness question of the multivariate moment problem is studied by different methods: Hilbert space operators, complex function theory, polynomial approximation, disintegration, integral geometry. Most of the known results in the multi-dimensional case are reviewed and reproved, and a number of new determinacy criteria are developed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Statistical Methods and Models · Statistical and numerical algorithms · Advanced Optimization Algorithms Research