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With the second result, we study the stability of $\\left\\{\\operatorname{sinc}( \\lambda_n - t)\\right\\}_{n\\in\\mathbb Z}$ for $\\lambda_n\\in\\mathbb C$; if $|\\lambda_n-n|\\leqq L<\\frac{1}{\\pi}\\, \\sqrt\\frac{3\\alpha}{8}$, for all $n\\in\\mathbb Z$, then $\\{\\operatorname{sinc}(\\lambda_n-t)\\}_{n\\in\\mathbb"},"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":"1603.08762","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-03-29T13:20:45Z","cross_cats_sorted":[],"title_canon_sha256":"7bb41d2487bcadcb7bf9ed9e10aaf92b1f50eb318660e277660bb42f22982930","abstract_canon_sha256":"79e90ab437140ec4154d1918b1d5b11e6a04827aea55fbe7e1350be5e25bfba5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:05.396496Z","signature_b64":"2WmYoObOWMtMms3DULaocBWglqINl+nPp7MbdBdNU6V6Y082WHyiX9wG6wIxak115Lix2NVchsUmIqAIXtJvBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ebdc973cba9b985b53eaa49f6f4483e9035833306d09444e47b30518022ee2ae","last_reissued_at":"2026-05-18T01:18:05.395938Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:05.395938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kadec-1/4 Theorem for Sinc Bases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Antonio Avantaggiati, Paola Loreti, Pierluigi Vellucci","submitted_at":"2016-03-29T13:20:45Z","abstract_excerpt":"In this paper we show two results. In the first result we consider $\\lambda_n-n=\\frac{A}{n^\\alpha}$ for $n\\in\\mathbb N$; if $\\alpha>1/2$ and $0<A<\\frac{1}{\\pi\\sqrt{2 \\sqrt{2}\\zeta(2\\alpha)}}$, the system $\\left\\{\\operatorname{sinc}( \\lambda_n - t)\\right\\}_{n\\in\\mathbb N}$ is a Riesz basis for $PW_{\\pi}$. 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