{"id":"W2090455477","doi":"10.1007/bf02390816","title":"Multipliers of spherical harmonics and energy of measures on the sphere","year":2003,"lang":"sv","type":"article","venue":"Arkiv för matematik","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Spherical harmonics; Measure (data warehouse); Mathematics; Laplace operator; Spin-weighted spherical harmonics; Spherical mean; Zonal spherical harmonics; Fourier transform; Harmonics; Mathematical analysis; Operator (biology); Energy (signal processing); Unit sphere; Tensor operator; Norm (philosophy); Solid harmonics; Vector spherical harmonics; Physics; Statistics; Quantum mechanics; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006132284,0.0002892727,0.0005541591,0.00003856977,0.00007855501,0.00004358823,0.0005615537,0.0001149346,0.00004837316],"category_scores_gemma":[0.0008560604,0.0002045018,0.000108006,0.0003001906,0.0002243454,0.0001408045,0.0001523926,0.00019735,0.000009785639],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003429112,"about_ca_system_score_gemma":0.00005453052,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001157901,"about_ca_topic_score_gemma":0.000002092512,"domain_scores_codex":[0.9978781,0.0001604565,0.0007298586,0.0003584375,0.0005311368,0.0003419766],"domain_scores_gemma":[0.9975439,0.001033962,0.0003329555,0.0008433897,0.0001351632,0.0001106416],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001315217,0.0001732848,0.0000268925,0.0009753658,0.00009654642,0.00000522579,0.001228966,0.04829104,0.006730268,0.9386863,0.0001512676,0.003621753],"study_design_scores_gemma":[0.0006277552,0.0002793305,0.00009312741,0.001834989,0.00008107717,0.0000293243,0.0007673766,0.8209476,0.07432929,0.09930277,0.001132955,0.0005744023],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02789642,0.001461616,0.9652957,0.0001990024,0.0002713974,0.0001875659,0.000004711123,0.0000537527,0.004629875],"genre_scores_gemma":[0.8624499,0.0001501093,0.1371204,0.00008165171,0.00001171635,0.00001473539,1.959598e-7,0.00002940112,0.0001418982],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8393835,"threshold_uncertainty_score":0.8339343,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0256143775502384,"score_gpt":0.2336392700815266,"score_spread":0.2080248925312882,"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."}}