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A distribution matrix-valued function $\\Si(s), \\; s\\in\\bR,$ is called a spectral (pseudospectral) function of such a system if the corresponding Fourier transform is an isometry (resp. partial isometry) from $\\LI$ into $L^2(\\Si)$. The main result is a parametrization of all spectral and pseudospectral functions of a given system by means of a Nevanlinna boundary parameter $\\tau$. Similar parameterizations for various classes of bounda"},"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":"1407.5398","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-07-21T07:31:27Z","cross_cats_sorted":[],"title_canon_sha256":"8bc7878bbcd6c09a651c85eafd90e669ce3854556d19fdd5b47cc51a6c60d346","abstract_canon_sha256":"c403e5c8fe4b20338119aae4807405b460dcbbfc52ea12458adea25774dd31a8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:14.092173Z","signature_b64":"FcpdvKDE/I4NXpF5qvsTvdXyjeFFWpW4yDAMxGO82Q7jo34KeR+dlRK8Suj8wxvyR2PLX87Q03Jvbh8e9B1EDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"458e0f02cfdc6f725fbbe806379803f23f82570bfadf85b0e077b7116dbdca9f","last_reissued_at":"2026-05-18T02:47:14.091696Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:14.091696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On spectral and pseudospectral functions of first-order symmetric systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Vadim Mogilevskii","submitted_at":"2014-07-21T07:31:27Z","abstract_excerpt":"We consider general (not necessarily Hamiltonian) first-order symmetric system $J y'-B(t)y=\\D(t) f(t)$ on an interval $\\cI=[a,b) $ with the regular endpoint $a$. 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