{"id":"https://openalex.org/W2005259690","doi":"https://doi.org/10.1080/713818177","title":"Calcul Num\u00e9rique du Produit de Convolution de Deux Fonctions Dont la Transform\u00e9s de Fourier Est \u00e0 Support Born\u00e9","display_name":"Calcul Num\u00e9rique du Produit de Convolution de Deux Fonctions Dont la Transform\u00e9s de Fourier Est \u00e0 Support Born\u00e9","publication_year":1969,"publication_date":"1969-05-01","ids":{"openalex":"https://openalex.org/W2005259690","doi":"https://doi.org/10.1080/713818177","mag":"2005259690"},"language":"fr","primary_location":{"id":"doi:10.1080/713818177","doi":"https://doi.org/10.1080/713818177","is_oa":false,"landing_page_url":"https://doi.org/10.1080/713818177","pdf_url":null,"source":{"id":"https://openalex.org/S4210200933","display_name":"Optica Acta International Journal of Optics","issn_l":"0030-3909","issn":["0030-3909"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optica Acta: International Journal of Optics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083228915","display_name":"O Robaux","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210115729","display_name":"Laboratoire Aim\u00e9 Cotton","ror":"https://ror.org/021xexe56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I4210115729"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"O. Robaux","raw_affiliation_strings":["a  C.N.R.S. Laboratoire Aim\u00e9 Cotton, 91, ORSAY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"a  C.N.R.S. Laboratoire Aim\u00e9 Cotton, 91, ORSAY","institution_ids":["https://openalex.org/I4210115729"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066956380","display_name":"B. Roizen-Dossier","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210115729","display_name":"Laboratoire Aim\u00e9 Cotton","ror":"https://ror.org/021xexe56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I4210115729"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"B. Roizen-Dossier","raw_affiliation_strings":["a  C.N.R.S. Laboratoire Aim\u00e9 Cotton, 91, ORSAY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"a  C.N.R.S. Laboratoire Aim\u00e9 Cotton, 91, ORSAY","institution_ids":["https://openalex.org/I4210115729"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210115729"],"apc_list":null,"apc_paid":null,"fwci":1.0594,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.69975981,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"3","first_page":"269","last_page":"279"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.010999999940395355,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.0010999999940395355,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convolution-product","display_name":"convolution product","score":0.753000020980835},{"id":"https://openalex.org/keywords/numerical-convolution","display_name":"numerical convolution","score":0.5619999766349792},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6420000195503235},{"id":"https://openalex.org/keywords/bounded-spectrum","display_name":"bounded spectrum","score":0.6370000243186951},{"id":"https://openalex.org/keywords/truncation-error","display_name":"truncation error","score":0.6729999780654907},{"id":"https://openalex.org/keywords/sampling-step","display_name":"sampling step","score":0.8149999976158142},{"id":"https://openalex.org/keywords/sampling-theorem","display_name":"sampling theorem","score":0.5540000200271606},{"id":"https://openalex.org/keywords/sinc-function","display_name":"sinc function","score":0.6449999809265137},{"id":"https://openalex.org/keywords/numerical-accuracy","display_name":"numerical accuracy","score":0.4869999885559082}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.643229067325592},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.4042467474937439},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.10523727536201477}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/713818177","doi":"https://doi.org/10.1080/713818177","is_oa":false,"landing_page_url":"https://doi.org/10.1080/713818177","pdf_url":null,"source":{"id":"https://openalex.org/S4210200933","display_name":"Optica Acta International Journal of Optics","issn_l":"0030-3909","issn":["0030-3909"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optica Acta: International Journal of Optics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W1590583843"],"related_works":["https://openalex.org/W39144777","https://openalex.org/W2149454945","https://openalex.org/W2189273755","https://openalex.org/W6992735756","https://openalex.org/W1598289989","https://openalex.org/W2046306094","https://openalex.org/W827721617","https://openalex.org/W2774154283","https://openalex.org/W6941375896","https://openalex.org/W2196313388"],"abstract_inverted_index":{"On":[0],"montre":[1],"que":[2,71],"la":[3,36,47,49],"pr\u00e9cision":[4,48],"dans":[5],"le":[6,72,79],"calcul":[7],"d'un":[8],"produit":[9],"de":[10,12,22,25,31,33,35,92],"convolution":[11],"deux":[13],"fonctions":[14,84],"f":[15],"et":[16,66],"g":[17],"illimit\u00e9es,":[18],"dont":[19],"les":[20],"transform\u00e9es":[21],"Fourier":[23],"sont":[24],"domaine":[26,59],"fini,":[27],"d\u00e9pend":[28],"non":[29],"seulement":[30],"l'abscisse":[32],"tronquage":[34],"fonction":[37],"\u00e9chantillonn\u00e9e,":[38],"mais":[39],"encore":[40],"du":[41,43,58,60],"choix":[42],"pas":[44],"d'\u00e9chantillonnage":[45],"h:":[46],"meilleure":[50],"est":[51,85],"obtenue":[52],"lorsque":[53],"h=":[54],"h":[55],"0":[56],"inverse":[57],"plus":[61],"grand":[62],"des":[63,83,94],"spectres":[64],"F":[65],"G.":[67],"Il":[68],"arrive":[69],"m\u00eame":[70],"r\u00e9sultat":[73],"obtenu":[74],"soit":[75],"rigoureusement":[76],"exact:":[77],"c'est":[78],"cas":[80],"o\u00f9":[81],"l'une":[82],"une":[86],"combinaison":[87],"lin\u00e9aire":[88],"\u00e0":[89],"nombre":[90],"fini":[91],"termes":[93],"bases":[95],"b":[96],"p":[97],"(x)":[98],"=":[99],"sinc":[100],"(x":[101],"\u2212":[102],"ph":[103],"0)/h":[104],"0.":[105]},"counts_by_year":[],"updated_date":"2026-09-25T08:18:29.962427","created_date":"2016-06-24T00:00:00"}
