{"id":"W1548245788","doi":"10.22342/jims.20.2.143.125-140","title":"CONVOLUTION THEOREMS FOR CLIFFORD FOURIER TRANSFORM AND PROPERTIES","year":2014,"lang":"en","type":"article","venue":"Journal of the Indonesian Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Universitas Hasanuddin","keywords":"Mathematics; Convolution (computer science); Convolution theorem; Fourier transform; Fourier inversion theorem; Clifford analysis; Pure mathematics; Commutative property; Multiplication (music); Discrete Fourier transform (general); Discrete-time Fourier transform; Mathematical analysis; Fractional Fourier transform; Algebra over a field; Fourier analysis; Combinatorics; Dirac operator; Computer science","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":[],"consensus_categories":[],"category_scores_codex":[0.004190418,0.0002267571,0.0007324184,0.00003108826,0.0002752787,0.00007695352,0.0003524951,0.0001654773,0.00004705246],"category_scores_gemma":[0.001055609,0.0001090751,0.001057179,0.0001507747,0.0003227357,0.0001662823,0.00003618996,0.0003146679,0.000001665704],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004246078,"about_ca_system_score_gemma":0.00004091028,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.462298e-7,"about_ca_topic_score_gemma":9.585224e-7,"domain_scores_codex":[0.9978511,0.0001715053,0.001003139,0.0001443929,0.0005255677,0.0003043343],"domain_scores_gemma":[0.9975434,0.001339482,0.0004627354,0.0002837835,0.0002177754,0.0001528329],"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":[0.00009900966,0.0003855945,0.0001054984,0.002073535,0.0004819469,3.794221e-7,0.002588552,0.000003653878,0.000901133,0.9747735,0.001125908,0.01746133],"study_design_scores_gemma":[0.0009728933,0.0001363236,0.00003989938,0.0003108514,0.0005066651,0.00008709187,0.0004723134,0.02464156,0.002390827,0.9690434,0.001240066,0.0001580831],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1136088,0.00007905701,0.879235,0.004836491,0.000100625,0.0005607934,0.000003309161,0.00002011861,0.001555788],"genre_scores_gemma":[0.6577004,0.0000366564,0.3411233,0.0003143357,0.0003148791,0.00003054325,2.704733e-7,0.00004610963,0.0004335503],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5440916,"threshold_uncertainty_score":0.4447955,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04633956187826272,"score_gpt":0.3001293946274383,"score_spread":0.2537898327491756,"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."}}