{"paper":{"title":"On Titchmarsh-Weyl functions and eigenfunction expansions of first-order symmetric systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Mark Malamud, Sergio Albeverio, Vadim Mogilevskii","submitted_at":"2013-03-25T14:59:07Z","abstract_excerpt":"We study general (not necessarily Hamiltonian) first-order symmetric systems $J y'(t)-B(t)y(t)=\\D(t) f(t)$ on an interval $\\cI=[a,b> $ with the regular endpoint $a$. It is assumed that the deficiency indices $n_\\pm(\\Tmi)$ of the minimal relation $\\Tmi$ in $\\LI$ satisfy $n_-(\\Tmi)\\leq n_+(\\Tmi)$. By using a Nevanlinna boundary parameter $\\tau=\\tau(\\l)$ at the singular endpoint $b$ we define self-adjoint and $\\l$-depending Nevanlinna boundary conditions which are analogs of separated self-adjoint boundary conditions for Hamiltonian systems. With a boundary value problem involving such conditions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6153","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"}