{"id":"W4394200406","doi":"10.28924/2291-8639-22-2024-62","title":"Paley Wiener Theorem on a Reductive Lie Group","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Group (periodic table); Lie group; Pure mathematics; Algebra over a field; Physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002286988,0.00007985783,0.000164911,0.0005429866,0.00004426957,0.00008651237,0.0001836211,0.00003000742,0.0001018529],"category_scores_gemma":[0.00005717568,0.00005751503,0.0002164427,0.0005426339,0.00004995294,0.0001327176,0.00002631049,0.0001456626,0.00001032174],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000373133,"about_ca_system_score_gemma":0.00001721336,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000104824,"about_ca_topic_score_gemma":0.000003782225,"domain_scores_codex":[0.9991794,0.00001932762,0.0003039057,0.0001343684,0.0002952385,0.00006775971],"domain_scores_gemma":[0.9991535,0.0003098104,0.0001568715,0.0001065881,0.0002168464,0.00005636613],"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":[0.00001597742,0.0001126791,0.0002334108,0.000005625952,0.00177738,0.00001089013,0.0001350976,0.00007412276,0.000457174,0.9657065,0.0003727919,0.03109831],"study_design_scores_gemma":[0.0001307952,0.00005076556,0.001176818,0.00005258052,0.0006835109,0.00004778569,0.0002324293,0.000460854,0.0004911781,0.9818131,0.01476675,0.00009340423],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2613222,0.001117612,0.7286484,0.003146732,0.0002410658,0.0001246612,0.00005235434,0.00003733046,0.005309547],"genre_scores_gemma":[0.9951768,0.0002369282,0.003627264,0.00009294425,0.0005604095,0.00001268346,0.000006708327,0.000008382851,0.0002779156],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7338545,"threshold_uncertainty_score":0.2345395,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01569962124135177,"score_gpt":0.3436730040841769,"score_spread":0.3279733828428251,"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."}}