{"id":"W2075798922","doi":"10.1016/s0021-9045(02)00061-8","title":"Shift-invariant spaces of tempered distributions and L-functions","year":2003,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"University of Alberta","keywords":"Mathematics; Invariant (physics); Univariate; Pure mathematics; Fourier transform; Mathematical analysis; Interpolation space; Lp space; Multivariate statistics; Functional analysis; Banach space; Statistics; Mathematical physics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003207349,0.001245302,0.001304588,0.003503201,0.001421459,0.004963286,0.002020971,0.00181615,0.00584036],"category_scores_gemma":[0.009984461,0.0007566538,0.001250078,0.002046884,0.00449097,0.007931279,0.002780548,0.003390557,0.0007576849],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002054862,"about_ca_system_score_gemma":0.001024509,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001401213,"about_ca_topic_score_gemma":0.0008527662,"domain_scores_codex":[0.9987594,0.0005106237,0.00007529674,0.0002444025,0.0002629295,0.000147424],"domain_scores_gemma":[0.9947568,0.002202416,0.0008377965,0.0005545048,0.0008990791,0.0007493283],"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":[0.00002986628,0.0000158165,0.0001682841,0.00002127338,0.00001266656,0.00004079815,0.0001160038,0.002273415,0.0006199463,0.9936231,0.0003752401,0.002703644],"study_design_scores_gemma":[0.000008649395,0.00001855172,0.0001914378,0.000009861767,0.000007710706,0.00006831498,0.00005372327,0.03286772,0.000309297,0.9654093,0.001040881,0.00001457544],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1888263,0.004049711,0.7799698,0.002803158,0.0005502322,0.00004489201,0.0003069758,0.0002835142,0.02316533],"genre_scores_gemma":[0.8908105,0.003004672,0.08174153,0.000671802,0.001074215,0.0001145091,0.0005393496,0.0003056071,0.02173772],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00584036,"threshold_uncertainty_score":0.01953793,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03506592771886268,"score_gpt":0.309536326924022,"score_spread":0.2744703992051593,"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."}}