{"paper":{"title":"Density of spaces of trigonometric polynomials with frequencies from a subgroup in $L^\\alpha$-spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Juan Miguel Medina, Lutz Peter Klotz, Manfred Riedel","submitted_at":"2017-09-08T19:57:22Z","abstract_excerpt":"Let $G$ be an LCA group, $H$ a closed subgroup, $\\varGamma$ the dual group of $G$ and $\\mu$ be a regular finite non-negative Borel measure on $\\varGamma$. We give some necessary and sufficient conditions for the density of the set of trigonometric polynomials on $\\varGamma$ with frequencies from $H$ in the space $L^\\alpha(\\mu), \\alpha \\in (0,\\infty)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.02846","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"}