{"paper":{"title":"General Stieltjes moment problems for rapidly decreasing smooth functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.FA","authors_text":"Jasson Vindas, Ricardo Estrada","submitted_at":"2016-09-25T19:53:50Z","abstract_excerpt":"We give (necessary and sufficient) conditions over a sequence $\\left\\{ f_{n}\\right\\} _{n=0}^{\\infty}$ of functions under which every generalized Stieltjes moment problem \\[ \\int_{0}^{\\infty} f_{n}(x)\\phi(x)\\mathrm{d} x=a_{n}, \\ \\ \\ n\\in\\mathbb{N}, \\] has solutions $\\phi\\in\\mathcal{S}(\\mathbb{R})$ with $\\operatorname*{supp} \\phi\\subseteq[0,\\infty)$. Furthermore, we consider more general problems of this kind for measure or distribution sequences $\\left\\{ f_{n}\\right\\} _{n=0}^{\\infty}$. We also study vector moment problems with values in Frechet spaces and multidimensional moment problems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07791","kind":"arxiv","version":2},"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"}