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First, we verify the Feichtinger conjecture for the kernels $ \\tilde k_{\\lambda_n} = k_{\\lambda_n}/\\|k_{\\lambda_n}\\|$ under the assumption that $\\sup_n |\\Theta(\\lambda_n)|<1$. Secondly, we prove the Feichtinger conjecture in the case where $\\Theta$ is a one-component inner function, meaning that the set $\\{z:|\\Theta(z)|<\\varepsilon\\}$ is connected for some $\\varepsilon\\in"},"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":"0906.2158","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-06-11T16:57:09Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"e5215c5f1561101476845eda1e1e1d5d10ebbe6b3dbf51fdbacc11fa097829a4","abstract_canon_sha256":"582e80f53f2798c82a16ce966b9aad5e30bba58594fd8754d05946d19cbedd0e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:47.009576Z","signature_b64":"RNVs9PyZKKC9nt5BWoyoGksY0/7TnJrdb8iILhFINQ9vXctg7nyY9jQJy8VUMqnBFMQSbchLw33/2yT9b9QXAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43a296ec239add2290dd0e81f2ac47047616fcaa0033ebb501c915ed41e1c9d1","last_reissued_at":"2026-05-18T04:05:47.009210Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:47.009210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Feichtinger conjecture for reproducing kernels in model subspaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CV","authors_text":"Anton Baranov, Konstantin Dyakonov","submitted_at":"2009-06-11T16:57:09Z","abstract_excerpt":"We obtain two results concerning the Feichtinger conjecture for systems of normalized reproducing kernels in the model subspace $K_\\Theta = H^2\\ominus \\Theta H^2$ of the Hardy space $H^2$, where $\\Theta$ is an inner function. 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