{"paper":{"title":"Some classes of Wiener--Hopf plus Hankel operators and the Coburn-Simonenko Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Bernd Silbermann, Victor D. Didenko","submitted_at":"2014-01-12T01:00:36Z","abstract_excerpt":"Wiener-Hopf plus Hankel operators $W(a)+H(b):L^p(\\mathbb{R}^+)\\to L^p(\\mathbb{R}^+)$ with generating functions $a$ and $b$ from a subalgebra of $L^\\infty(\\mathbb{R})$ containing almost periodic functions and Fourier images of $L^1(\\mathbb{R})$-functions are studied. For $a$ and $b$ satisfying the so-called matching condition\n  \\begin{equation*} a(t) a(-t)=b(t) b(-t), \\quad t\\in \\mathbb{R}, \\end{equation*} we single out some classes of operators $W(a)+H(b)$ which are subject to Coburn-Simonenko theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2582","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"}