{"id":"W2080534610","doi":"10.1007/s00222-010-0234-2","title":"Beurling-Malliavin theory for Toeplitz kernels","year":2010,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Toeplitz matrix; Pure mathematics; Hardy space; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001931806,0.00166278,0.001564565,0.004270265,0.002593444,0.004095006,0.001335517,0.002140246,0.006911005],"category_scores_gemma":[0.004613834,0.0005441451,0.001428086,0.002215239,0.005550857,0.007692724,0.002290095,0.005298139,0.001001512],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002993848,"about_ca_system_score_gemma":0.001071646,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002780748,"about_ca_topic_score_gemma":0.001883551,"domain_scores_codex":[0.9993517,0.0001846276,0.0000350897,0.0001193066,0.0002083986,0.0001009026],"domain_scores_gemma":[0.9984154,0.0005997754,0.0001570468,0.0001963467,0.0003589524,0.0002725188],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004837313,0.000005513899,0.00003587465,0.00001026448,0.00000306866,0.00002075121,0.00007344893,0.0002251525,0.0001596158,0.9982294,0.0002977997,0.0009342897],"study_design_scores_gemma":[0.000003562331,0.000003859119,0.00004674669,0.000003998104,0.0000022131,0.00002004864,0.00001910185,0.00200124,0.00006021188,0.9969444,0.0008892457,0.000005325802],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2377001,0.008120582,0.5052857,0.01027963,0.002071798,0.00008263437,0.0004098518,0.0005918995,0.2354579],"genre_scores_gemma":[0.873495,0.003932238,0.04566203,0.00129633,0.002080681,0.0001150172,0.0002626636,0.0003092829,0.07284669],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006911005,"threshold_uncertainty_score":0.02311963,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06484588946558567,"score_gpt":0.350421376211529,"score_spread":0.2855754867459433,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}