{"id":"W3035657842","doi":"10.1007/s11868-020-00344-0","title":"Pseudo-differential analysis of bounded linear operators from $$L^{p_1}({\\mathbb S}^1)$$ into $$L^{p_2}({\\mathbb S}^1)$$","year":2020,"lang":"en","type":"article","venue":"Journal of Pseudo-Differential Operators and Applications","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bounded function; Mathematics; Bounded operator; Operator (biology); Differential operator; Sigma; Linear map; Self-adjoint operator; Discrete mathematics; Pure mathematics; Combinatorics; Mathematical analysis; Physics; Hilbert space; Quantum mechanics","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","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003926975,0.0006690983,0.002121789,0.000442284,0.0003687411,0.0002530925,0.001038325,0.0003219567,0.001212062],"category_scores_gemma":[0.0003362909,0.0005436805,0.0009573431,0.001632503,0.0004153775,0.0004126308,0.0003111995,0.0008092719,0.00003410153],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001013001,"about_ca_system_score_gemma":0.0001831948,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005455816,"about_ca_topic_score_gemma":0.00002214373,"domain_scores_codex":[0.995197,0.0002800288,0.002376561,0.0006564733,0.0009929778,0.0004969737],"domain_scores_gemma":[0.9957264,0.0007701549,0.001323083,0.0007773549,0.0006551482,0.0007478529],"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":[0.0005742901,0.003170047,0.00238097,0.0006671509,0.009822214,0.0000294965,0.008403759,0.0003081887,0.374635,0.5953359,0.001744885,0.002928124],"study_design_scores_gemma":[0.00761145,0.001618479,0.004479463,0.0005543381,0.02365288,0.00005517407,0.003886945,0.06377862,0.1548614,0.7340007,0.002376682,0.003123902],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8590243,0.0001270915,0.1389994,0.0006362599,0.0001680126,0.000605601,0.0001873178,0.00007350738,0.0001783837],"genre_scores_gemma":[0.9716913,0.0001465667,0.02649355,0.0002267815,0.001184557,0.00005928299,0.00005355644,0.0001034032,0.00004107524],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2197736,"threshold_uncertainty_score":0.9997015,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0285163615049201,"score_gpt":0.3134029008231348,"score_spread":0.2848865393182147,"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."}}