{"paper":{"title":"Distribution of zero subsequences for Bernstein space and criteria of completeness for exponential system on a segment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Bulat N. Khabibullin","submitted_at":"2011-04-14T07:03:24Z","abstract_excerpt":"For $\\sigma\\in (0,+\\infty)$, denote by $B_\\sigma^{\\infty}$ the Bernstein space (of type $\\sigma$) of all entire functions of exponential type $\\leq \\sigma$ bounded on real axis $\\R$. Let $I_d\\subset \\R$ be a segment of length $d>0$. We announce complete description of non-uniqueness sequences of points for $B_\\sigma^\\infty$ and criteria of completeness of exponential system in $C(I_d)$ or $L^p(I_d)$ to within one or two exponential functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2683","kind":"arxiv","version":3},"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"}