{"paper":{"title":"On the multilinear Hausdorff problem of moments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"A. Ibort, J. G. Llavona, P. Linares","submitted_at":"2012-03-13T22:09:42Z","abstract_excerpt":"Given a multi-index sequence $\\mu_{\\mathbf{k}}$, $\\mathbf{k} = (k_1,..., k_n) \\in \\mathbb{N}_0^n$, necessary and sufficient conditions are given for the existence of a regular Borel polymeasure $\\gamma$ on the unit interval $I= [0,1]$ such that $\\mu_{\\mathbf{k}} = \\int_{I^n} t_1^{k_1}\\otimes ... \\otimes t_n^{k_n} \\gamma$. This problem will be called the weak multilinear Hausdorff problem of moments for $\\mu_{\\mathbf{k}}$. Comparison with classical results will allow us to relate the weak multilinear Hausdorff problem with the multivariate Hausdorff problem. A solution to the strong multilinear"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2967","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"}