{"id":"W2973639313","doi":"10.1007/s13324-020-00371-6","title":"Diagonalization of the finite Hilbert transform on two adjacent intervals: the Riemann–Hilbert approach","year":2020,"lang":"lv","type":"preprint","venue":"Analysis and Mathematical Physics","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"H2020 European Research Council; Natural Sciences and Engineering Research Council of Canada; Kungliga Tekniska Högskolan; National Science Foundation","keywords":"Bounded function; Mathematics; Linear operators; Hilbert transform; Riemann hypothesis; Matrix (chemical analysis); Combinatorics; Pure mathematics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.001729,0.001408974,0.003382731,0.0001430725,0.0004834416,0.0003105881,0.002089636,0.0004449759,0.0003173788],"category_scores_gemma":[0.001662672,0.0007933739,0.003360204,0.002356553,0.001325486,0.0001823053,0.001218781,0.001930277,0.0001260615],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001708926,"about_ca_system_score_gemma":0.0001313421,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004799916,"about_ca_topic_score_gemma":0.00002054951,"domain_scores_codex":[0.9921637,0.0009885891,0.002624659,0.001366612,0.002046758,0.0008096981],"domain_scores_gemma":[0.9879435,0.006510718,0.001769404,0.003041305,0.0003860822,0.0003490462],"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":[0.00009294337,0.002492746,0.00003397275,0.00402071,0.006642026,0.000001769813,0.009237049,0.003198489,0.000102478,0.9721582,0.0003101266,0.001709524],"study_design_scores_gemma":[0.000534498,0.0001229643,0.00007688067,0.0008736848,0.01283851,0.000002772156,0.0006027503,0.1641652,0.001756132,0.8182477,0.00009553332,0.0006833007],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01870468,0.0002247527,0.9130678,0.00613367,0.0002559234,0.004026,0.0003156131,0.0001462425,0.0571253],"genre_scores_gemma":[0.988189,0.0003006015,0.008580352,0.001003751,0.0006135879,0.0003018906,0.0001346403,0.0002207052,0.0006554771],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9694843,"threshold_uncertainty_score":0.9998661,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05022459130557514,"score_gpt":0.3092859544658904,"score_spread":0.2590613631603153,"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."}}