{"id":"W4324045199","doi":"10.1016/j.jat.2023.105884","title":"Theorems of Szegö–Verblunsky type in the multivariate and almost periodic settings","year":2023,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Holomorphic function; Torus; Bounded function; Logarithm; Measure (data warehouse); Type (biology); Piecewise; Absolute continuity; Pure mathematics; Mathematical analysis; Sequence (biology); Orthogonal polynomials; TRACE (psycholinguistics); Taylor series; Square (algebra); Geometry","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":[0.003350938,0.001095201,0.001477021,0.003233952,0.001858612,0.003304478,0.001975834,0.001675119,0.01029013],"category_scores_gemma":[0.01025399,0.0005401933,0.002039621,0.002247792,0.003909552,0.00948011,0.004026892,0.004248188,0.0006713316],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001770727,"about_ca_system_score_gemma":0.001111413,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001501667,"about_ca_topic_score_gemma":0.001124125,"domain_scores_codex":[0.9989613,0.0003497731,0.0000543336,0.0001650227,0.0002957953,0.0001738142],"domain_scores_gemma":[0.9940609,0.003830104,0.0006206354,0.0004759673,0.0004678063,0.0005445926],"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":[0.00001472266,0.00001018254,0.0001510061,0.00002857815,0.00001474177,0.00003811658,0.00006857158,0.0006899935,0.0001523309,0.9955798,0.00118201,0.00207],"study_design_scores_gemma":[0.00001799318,0.00001231138,0.0003253216,0.00001500058,0.00001348707,0.00009794482,0.00004509341,0.006765038,0.0001007691,0.9905357,0.00205934,0.00001215885],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2261962,0.01241092,0.5512918,0.01533773,0.002063172,0.0001188707,0.00124772,0.0005265604,0.190807],"genre_scores_gemma":[0.8914322,0.006580136,0.05420838,0.002103859,0.003122192,0.0002182488,0.0005930823,0.0002865435,0.04145528],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01029013,"threshold_uncertainty_score":0.03442389,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04228158499755761,"score_gpt":0.3228337597191512,"score_spread":0.2805521747215936,"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."}}