{"id":"W2009073601","doi":"10.1007/bf02514505","title":"Subspace Weyl-Heisenberg frames","year":2001,"lang":"en","type":"article","venue":"Journal of Fourier Analysis and Applications","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":62,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Subspace topology; Mathematics; Square-integrable function; Linear subspace; Invariant subspace; Frame (networking); Pure mathematics; Discrete mathematics; Mathematical analysis; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006886317,0.001087078,0.000981177,0.001951162,0.001814122,0.002593111,0.0008446879,0.001305954,0.008610458],"category_scores_gemma":[0.001240167,0.0003707134,0.0005745805,0.001288134,0.002196891,0.00561034,0.001847761,0.001893882,0.002024806],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000780253,"about_ca_system_score_gemma":0.0006477621,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007718175,"about_ca_topic_score_gemma":0.0006955711,"domain_scores_codex":[0.9995576,0.0001029338,0.00002107949,0.00009319095,0.0001323968,0.00009281974],"domain_scores_gemma":[0.9995252,0.00005071553,0.00007901564,0.0000886725,0.0001297565,0.000126655],"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":[0.000009943223,0.000005046497,0.00002135341,0.000006562017,0.000002715862,0.00001303489,0.0000497974,0.0003219775,0.0004423163,0.9963477,0.0005782698,0.002201378],"study_design_scores_gemma":[0.000005042061,0.00001018039,0.00007355663,0.000004508275,0.000003104481,0.00004307699,0.00005551043,0.002617815,0.0002939685,0.9937873,0.003096498,0.000009490604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3038526,0.003615671,0.4152619,0.004300151,0.002283948,0.0001481316,0.000914747,0.000609214,0.2690136],"genre_scores_gemma":[0.8334506,0.003003557,0.05332416,0.0007402248,0.00218868,0.0001382323,0.0005678505,0.0003539286,0.1062328],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008610458,"threshold_uncertainty_score":0.02880484,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03552580965776626,"score_gpt":0.3608691145843134,"score_spread":0.3253433049265471,"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."}}