{"paper":{"title":"Spectral Estimates and Non-Selfadjoint Perturbations of Spheroidal Wave Operators","license":"","headline":"","cross_cats":["gr-qc","math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"Felix Finster, Harald Schmid","submitted_at":"2004-05-04T14:47:36Z","abstract_excerpt":"We derive a spectral representation for the oblate spheroidal wave operator which is holomorphic in the aspherical parameter $\\Omega$ in a neighborhood of the real line. For real $\\Omega$, estimates are derived for all eigenvalue gaps uniformly in $\\Omega$.\n  The proof of the gap estimates is based on detailed estimates for complex solutions of the Riccati equation. The spectral representation for complex $\\Omega$ is derived using the theory of slightly non-selfadjoint perturbations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0405010","kind":"arxiv","version":4},"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"}