{"id":"https://openalex.org/W2013663804","doi":"https://doi.org/10.1007/s11075-007-9151-x","title":"Fourier series and the Lubkin W-transform","display_name":"Fourier series and the Lubkin W-transform","publication_year":2008,"publication_date":"2008-01-03","ids":{"openalex":"https://openalex.org/W2013663804","doi":"https://doi.org/10.1007/s11075-007-9151-x","mag":"2013663804"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-007-9151-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-007-9151-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","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/A5041974316","display_name":"Albert Boggess","orcid":null},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Jason Boggess","raw_affiliation_strings":["Department of Mathematics, Iowa State University, Ames, IA, 50012, USA","Iowa State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, IA, 50012, USA","institution_ids":["https://openalex.org/I173911158"]},{"raw_affiliation_string":"Iowa State University","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016425573","display_name":"B. Eric Bunch","orcid":null},"institutions":[{"id":"https://openalex.org/I157394403","display_name":"Baylor University","ror":"https://ror.org/005781934","country_code":"US","type":"education","lineage":["https://openalex.org/I157394403"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"B. Eric Bunch","raw_affiliation_strings":["Baylor University, Waco, TX, 76798, USA","Baylor University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Baylor University, Waco, TX, 76798, USA","institution_ids":["https://openalex.org/I157394403"]},{"raw_affiliation_string":"Baylor University","institution_ids":["https://openalex.org/I157394403"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012563908","display_name":"Chelsea Moore","orcid":null},"institutions":[{"id":"https://openalex.org/I189590672","display_name":"Kansas State University","ror":"https://ror.org/05p1j8758","country_code":"US","type":"education","lineage":["https://openalex.org/I189590672"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"C. Charles N. Moore","raw_affiliation_strings":["Department of Mathematics, Kansas State University, Manhattan, KS, 66506, USA","Kansas state university"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kansas State University, Manhattan, KS, 66506, USA","institution_ids":["https://openalex.org/I189590672"]},{"raw_affiliation_string":"Kansas state university","institution_ids":["https://openalex.org/I189590672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012563908"],"corresponding_institution_ids":["https://openalex.org/I189590672"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":0.4084,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.58200764,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"47","issue":"2","first_page":"133","last_page":"142"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9987000226974487,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9987000226974487,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9965999722480774,"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":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.747833251953125},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.6603790521621704},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5792511701583862},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5184630751609802},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.50874263048172},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.49615272879600525},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.4812209904193878},{"id":"https://openalex.org/keywords/fourier-inversion-theorem","display_name":"Fourier inversion theorem","score":0.468725323677063},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45407992601394653},{"id":"https://openalex.org/keywords/conjugate-fourier-series","display_name":"Conjugate Fourier series","score":0.42805153131484985},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.4229956865310669},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4180123209953308},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3428460955619812},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.256004273891449},{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.24338051676750183},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09241470694541931},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0734739601612091}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.747833251953125},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.6603790521621704},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5792511701583862},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5184630751609802},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.50874263048172},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.49615272879600525},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.4812209904193878},{"id":"https://openalex.org/C175146775","wikidata":"https://www.wikidata.org/wiki/Q3984053","display_name":"Fourier inversion theorem","level":5,"score":0.468725323677063},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45407992601394653},{"id":"https://openalex.org/C127559803","wikidata":"https://www.wikidata.org/wiki/Q5161149","display_name":"Conjugate Fourier series","level":5,"score":0.42805153131484985},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.4229956865310669},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4180123209953308},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3428460955619812},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.256004273891449},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.24338051676750183},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09241470694541931},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0734739601612091},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-007-9151-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-007-9151-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1980177911","https://openalex.org/W2038951777","https://openalex.org/W2043646753","https://openalex.org/W2054777142","https://openalex.org/W2059757992","https://openalex.org/W2085588654","https://openalex.org/W2092599176","https://openalex.org/W2093432799","https://openalex.org/W2615364356","https://openalex.org/W2914282094","https://openalex.org/W2946289328","https://openalex.org/W3038928148"],"related_works":["https://openalex.org/W1574935133","https://openalex.org/W4366130562","https://openalex.org/W1494563252","https://openalex.org/W2099309112","https://openalex.org/W2055315600","https://openalex.org/W2751880894","https://openalex.org/W4293489978","https://openalex.org/W2952516290","https://openalex.org/W4386770956","https://openalex.org/W4238804232"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}