{"paper":{"title":"Application of localization to the multivariate moment problem II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.FA","authors_text":"Murray Marshall","submitted_at":"2014-10-17T00:03:25Z","abstract_excerpt":"The paper is a sequel to the paper \"Application of localization to the multivariate moment problem\" by the same author. A new criterion is presented for a positive semidefinite linear functional on the real polynomial algebra to correspond to a positive Borel measure on real n-space. The criterion is stronger than Nussbaum's criterion and is similar in nature to a criterion of Schmudgen. It is also explained how the criterion allows one to understand the support of the associated measure in terms of the non-negativity of the linear functional on a quadratic module of the real polynomial algebr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4609","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}