{"id":"https://openalex.org/W3207891155","doi":"https://doi.org/10.1007/s40314-021-01631-2","title":"Mixed orthogonality on the unit ball","display_name":"Mixed orthogonality on the unit ball","publication_year":2021,"publication_date":"2021-10-16","ids":{"openalex":"https://openalex.org/W3207891155","doi":"https://doi.org/10.1007/s40314-021-01631-2","mag":"3207891155"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-021-01631-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01631-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11449/229744","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079195435","display_name":"Cleonice F. Bracciali","orcid":"https://orcid.org/0000-0002-6823-4204"},"institutions":[{"id":"https://openalex.org/I879563668","display_name":"Universidade Estadual Paulista (Unesp)","ror":"https://ror.org/00987cb86","country_code":"BR","type":"education","lineage":["https://openalex.org/I879563668"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Cleonice F. Bracciali","raw_affiliation_strings":["Departamento de Matem\u00e1tica, IBILCE, UNESP - Universidade Estadual Paulista, S\u00e3o Jos\u00e9 do Rio Preto, SP, 15054-000, Brazil","Departamento de Matem\u00e1tica, IBILCE, UNESP - Universidade Estadual Paulista, S\u00e3o Jos\u00e9 do Rio Preto, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-6823-4204","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, IBILCE, UNESP - Universidade Estadual Paulista, S\u00e3o Jos\u00e9 do Rio Preto, SP, 15054-000, Brazil","institution_ids":["https://openalex.org/I879563668"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica, IBILCE, UNESP - Universidade Estadual Paulista, S\u00e3o Jos\u00e9 do Rio Preto, Brazil","institution_ids":["https://openalex.org/I879563668"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072106689","display_name":"Teresa E. P\u00e9rez","orcid":"https://orcid.org/0000-0002-0889-6484"},"institutions":[{"id":"https://openalex.org/I173304897","display_name":"Universidad de Granada","ror":"https://ror.org/04njjy449","country_code":"ES","type":"education","lineage":["https://openalex.org/I173304897"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Teresa E. P\u00e9rez","raw_affiliation_strings":["Instituto de Matem\u00e1ticas IEMath-GR and Departamento de Matem\u00e1tica Aplicada, Facultad de Ciencias, Universidad de Granada, 18071, Granada, Spain","Instituto de Matem\u00e1ticas IEMath-GR and Departamento de Matem\u00e1tica Aplicada, Facultad de Ciencias, Universidad de Granada, Granada, Spain"],"raw_orcid":"https://orcid.org/0000-0002-0889-6484","affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1ticas IEMath-GR and Departamento de Matem\u00e1tica Aplicada, Facultad de Ciencias, Universidad de Granada, 18071, Granada, Spain","institution_ids":["https://openalex.org/I173304897"]},{"raw_affiliation_string":"Instituto de Matem\u00e1ticas IEMath-GR and Departamento de Matem\u00e1tica Aplicada, Facultad de Ciencias, Universidad de Granada, Granada, Spain","institution_ids":["https://openalex.org/I173304897"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079195435"],"corresponding_institution_ids":["https://openalex.org/I879563668"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.21439799,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"8","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9998000264167786,"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":0.9998000264167786,"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/T11822","display_name":"Analytic and geometric function theory","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11428","display_name":"Advanced Mathematical Identities","score":0.984000027179718,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/mathematics","display_name":"Mathematics","score":0.8032624125480652},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.7795547842979431},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.7529385089874268},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.6990275382995605},{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.6542719602584839},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5171239376068115},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4565330445766449},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.4440382719039917},{"id":"https://openalex.org/keywords/orthogonal-functions","display_name":"Orthogonal functions","score":0.4439443349838257},{"id":"https://openalex.org/keywords/unit-sphere","display_name":"Unit sphere","score":0.4263712763786316},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3705056309700012},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.25260689854621887},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11860910058021545},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.067178875207901}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8032624125480652},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.7795547842979431},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.7529385089874268},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.6990275382995605},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.6542719602584839},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5171239376068115},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4565330445766449},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.4440382719039917},{"id":"https://openalex.org/C135925592","wikidata":"https://www.wikidata.org/wiki/Q2637908","display_name":"Orthogonal functions","level":2,"score":0.4439443349838257},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.4263712763786316},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3705056309700012},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.25260689854621887},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11860910058021545},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.067178875207901},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40314-021-01631-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01631-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:repositorio.unesp.br:11449/229744","is_oa":true,"landing_page_url":"http://hdl.handle.net/11449/229744","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"instacron:UNESP","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:repositorio.unesp.br:11449/229744","is_oa":true,"landing_page_url":"http://hdl.handle.net/11449/229744","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"instacron:UNESP","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.41999998688697815,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G3159931047","display_name":null,"funder_award_id":"2016/09906-0","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G4835773514","display_name":null,"funder_award_id":"PGC2018-094932-B-I00","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G7471172967","display_name":null,"funder_award_id":"88881.310741/2018-01","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1570370571","https://openalex.org/W1940754725","https://openalex.org/W2012354376","https://openalex.org/W2067282438","https://openalex.org/W2076397789","https://openalex.org/W2077609945","https://openalex.org/W2130010995","https://openalex.org/W2567564955","https://openalex.org/W2610857016","https://openalex.org/W2963582883","https://openalex.org/W2980671223","https://openalex.org/W3038165843"],"related_works":["https://openalex.org/W2362319256","https://openalex.org/W2376842391","https://openalex.org/W2115188219","https://openalex.org/W4280542807","https://openalex.org/W2143709781","https://openalex.org/W3130526622","https://openalex.org/W4287754054","https://openalex.org/W4288725121","https://openalex.org/W3034218783","https://openalex.org/W4256532491"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
