{"paper":{"title":"On the constructive solution of an inverse Sturm-Liouville problem","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math-ph","math.CA","math.MP"],"primary_cat":"math.SP","authors_text":"Avetik Pahlevanyan","submitted_at":"2016-08-04T08:22:23Z","abstract_excerpt":"The necessary and sufficient conditions are found for the two sequences $\\left\\{\\mu_n \\right\\}_{n=0}^{\\infty}$ and $\\left\\{a_n \\right\\}_{n=0}^{\\infty}$ to be the spectrum and the norming constants respectively, for a boundary value problem $-y'' + q \\left( x \\right) y = \\mu y,$ $y \\left(0\\right)=0,$ $y\\left( \\pi \\right)\\cos \\beta + y'\\left( \\pi \\right)\\sin \\beta = 0,$ $\\beta \\in \\left( 0, \\pi \\right),$ with $q \\in L_{\\mathbb{R}}^1 \\left[0, \\pi \\right].$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.01459","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"}