{"id":"W2148633921","doi":"10.1016/j.acha.2005.11.001","title":"Bessel sequences in Sobolev spaces","year":2005,"lang":"en","type":"article","venue":"Applied and Computational Harmonic Analysis","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Bessel function; Sobolev space; Wavelet; Countable set; Sequence (biology); Pure mathematics; Space (punctuation); 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":[0.002086938,0.001260184,0.000827361,0.00277506,0.0008155711,0.003308218,0.0009115001,0.001417289,0.005157457],"category_scores_gemma":[0.00634972,0.0005863961,0.0005638355,0.001932083,0.002667345,0.004278708,0.001822805,0.002840287,0.0009642953],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001307988,"about_ca_system_score_gemma":0.0006833763,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001259274,"about_ca_topic_score_gemma":0.0008464935,"domain_scores_codex":[0.9993068,0.0002977997,0.00005633083,0.00008119673,0.0002060644,0.00005178938],"domain_scores_gemma":[0.9976978,0.001180939,0.0002316807,0.0001424197,0.0004868201,0.000260422],"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":[0.00001377585,0.000007287676,0.00005798913,0.00005796011,0.000006335937,0.00003736059,0.0001477626,0.001868017,0.0008432941,0.9903187,0.0008307515,0.005810882],"study_design_scores_gemma":[0.000006862907,0.00001155676,0.0001287361,0.00002350968,0.000005652691,0.00006520542,0.00006986879,0.02135026,0.0003896467,0.971458,0.006479104,0.00001154125],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1010446,0.02560201,0.753809,0.005388462,0.002930011,0.00006767158,0.0003214171,0.0003272547,0.1105096],"genre_scores_gemma":[0.736058,0.02173965,0.1347106,0.0009989601,0.003998255,0.0001834202,0.0004434359,0.00047924,0.1013885],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005157457,"threshold_uncertainty_score":0.01725346,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04012229526562908,"score_gpt":0.3299018308252717,"score_spread":0.2897795355596426,"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."}}