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If the generating functions $a$ and $b$ satisfy the so-called matching condition [1,2],\n  $$ a(t) a(1/t)=b(t)b(1/t), \\, t\\in \\mathbb{T},\n  $$ an efficient method for solving equations with Toeplitz plus Hankel operators is proposed. The method is based on the Wiener--Hopf factorization of the scalar functions $c(t)=a(t)b^{-1}(t)$ and $d(t)=a(t)b^{-1}(1/t)$ and allow"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1503.00050","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-02-28T01:22:28Z","cross_cats_sorted":[],"title_canon_sha256":"ade5a8d36a6126de8c5a690b9c340cdb656b9a3a38a0434d62d2c3d07ba9715a","abstract_canon_sha256":"e31126be7eb6dc4b07dcc59911950910527f9077b43559b3bb3d25315c319baa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:55.249140Z","signature_b64":"SrtN7Gu4jO14T3aYpiAGkFWxAdbLUBZg/VDq/Ldy/PM3o0PZ2KMfsuZb77yWI7uITwgznzJ2ElTDxKWqFZXHBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf907ffba56e9752e81ad40375798baf4e64791883d006b83d8496e23a24665b","last_reissued_at":"2026-05-18T02:25:55.248755Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:55.248755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Closed form solution of non-homogeneous equations with Toeplitz plus Hankel operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Bernd Silbermann, Victor D. 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