{"id":"W2028219662","doi":"10.4153/cmb-2005-015-x","title":"Weighted Convolution Operators on ℓ<i><sub>p</sub></i>","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Convolution (computer science); Convolution power; Pure mathematics; Algebra over a field; Discrete mathematics; Mathematical analysis; Fourier transform; Artificial intelligence; Fourier analysis","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006639914,0.0003196333,0.0004778599,0.0003453468,0.0002719451,0.00007826718,0.0004128328,0.0002132575,0.01245318],"category_scores_gemma":[0.001356342,0.0002887132,0.0001816227,0.0003810499,0.0001931578,0.00006274695,0.00005331,0.0005163078,0.04683718],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000882343,"about_ca_system_score_gemma":0.0003138471,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008631319,"about_ca_topic_score_gemma":0.001330231,"domain_scores_codex":[0.9972371,0.000154397,0.0005731217,0.000478104,0.0006079258,0.0009493447],"domain_scores_gemma":[0.9972693,0.0006860648,0.00009483384,0.0006857212,0.0001750977,0.00108895],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00003250557,0.0002876925,0.00001758873,0.0001325641,0.0001411774,0.000103003,0.0002852684,0.00004272119,0.002791845,0.7861625,0.1984707,0.01153247],"study_design_scores_gemma":[0.001687864,0.000209205,0.00004899642,0.0003765475,0.0001729589,0.00008208568,0.0003516747,0.01064859,0.05725263,0.4273282,0.5004544,0.001386929],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7962649,0.0002587376,0.03526406,0.03959834,0.0001340303,0.001744768,0.0001039014,0.0004795139,0.1261517],"genre_scores_gemma":[0.9844086,0.00003179646,0.01020439,0.001933011,0.0002661397,0.0001073504,0.00001818983,0.00009890849,0.002931609],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3588343,"threshold_uncertainty_score":0.9999565,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02832159646858294,"score_gpt":0.2911541305377494,"score_spread":0.2628325340691665,"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."}}