{"id":"W1997119295","doi":"10.1112/jlms/jdm113","title":"Double Hilbert transform along real‐analytic surfaces in ℝ<sup><i>d</i>+2</sup>","year":2008,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Hilbert transform; Bounded function; Mathematics; Wright; Pure mathematics; Integral transform; Mathematical analysis; Combinatorics; Computer science; Statistics","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":[0.00086595,0.0008070947,0.0005230231,0.002364936,0.0008470184,0.0025199,0.0007237118,0.0009199668,0.008006061],"category_scores_gemma":[0.002306666,0.0003749425,0.0005103858,0.0004704193,0.002756824,0.003657328,0.002816818,0.001923757,0.0005167375],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001103927,"about_ca_system_score_gemma":0.0004723879,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007542532,"about_ca_topic_score_gemma":0.0003029919,"domain_scores_codex":[0.9995924,0.00005675432,0.0000156776,0.00009030132,0.0001363859,0.0001084766],"domain_scores_gemma":[0.9989214,0.0002888319,0.0001691139,0.00008255397,0.0002075707,0.0003306403],"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":[0.0001218981,0.00003545067,0.0007375284,0.00004568273,0.000009335071,0.0004398453,0.0003239825,0.002739541,0.01213211,0.9770787,0.0007968404,0.005539165],"study_design_scores_gemma":[0.0000655125,0.0001897505,0.002809327,0.00003800993,0.00001427612,0.001376753,0.0006653577,0.1012215,0.01359873,0.874797,0.00516128,0.00006239329],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8177117,0.000509639,0.1357815,0.001843614,0.0002326013,0.00003309166,0.0001156846,0.0002054578,0.0435668],"genre_scores_gemma":[0.9843721,0.0001655975,0.004766721,0.00009711228,0.00007542217,0.00001663623,0.00007203391,0.00005980844,0.01037455],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008006061,"threshold_uncertainty_score":0.02678293,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05996860406046779,"score_gpt":0.3385505153017937,"score_spread":0.2785819112413259,"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."}}