{"id":"https://openalex.org/W1998653392","doi":"https://doi.org/10.1016/s0021-9045(03)00036-4","title":"Properties of locally linearly independent refinable function vectors","display_name":"Properties of locally linearly independent refinable function vectors","publication_year":2003,"publication_date":"2003-04-30","ids":{"openalex":"https://openalex.org/W1998653392","doi":"https://doi.org/10.1016/s0021-9045(03)00036-4","mag":"1998653392"},"language":"en","primary_location":{"id":"doi:10.1016/s0021-9045(03)00036-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0021-9045(03)00036-4","pdf_url":null,"source":{"id":"https://openalex.org/S35093870","display_name":"Journal of Approximation Theory","issn_l":"0021-9045","issn":["0021-9045","1096-0430"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Approximation Theory","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/A5059739223","display_name":"Gerlind Plonka","orcid":"https://orcid.org/0000-0002-3232-0573"},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"G. Plonka","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t Duisburg, D-47048 Duisburg, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Duisburg, D-47048 Duisburg, Germany#TAB#","institution_ids":["https://openalex.org/I62318514"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006802589","display_name":"Ding\u2010Xuan Zhou","orcid":"https://orcid.org/0000-0003-0224-9216"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"D.-X. Zhou","raw_affiliation_strings":["\u2020Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u2020Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2720,"currency":"USD","value_usd":2720},"apc_paid":null,"fwci":0.9151,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73938755,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"122","issue":"1","first_page":"24","last_page":"41"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9696999788284302,"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":0.9509000182151794,"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":0.9015898704528809},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46457964181900024},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.39235684275627136},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38767993450164795},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3405616581439972}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9015898704528809},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46457964181900024},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39235684275627136},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38767993450164795},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3405616581439972},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0021-9045(03)00036-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0021-9045(03)00036-4","pdf_url":null,"source":{"id":"https://openalex.org/S35093870","display_name":"Journal of Approximation Theory","issn_l":"0021-9045","issn":["0021-9045","1096-0430"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Approximation Theory","raw_type":"journal-article"},{"id":"pmh:oai:duepublico2.uni-due.de:duepublico_mods_00005241","is_oa":false,"landing_page_url":"https://duepublico2.uni-due.de/receive/duepublico_mods_00005241","pdf_url":null,"source":{"id":"https://openalex.org/S4306400212","display_name":"DuEPublico (University of Duisburg-Essen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62318514","host_organization_name":"University of Duisburg-Essen","host_organization_lineage":["https://openalex.org/I62318514"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doc-type:article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W42901718","https://openalex.org/W328216499","https://openalex.org/W641232363","https://openalex.org/W1482215146","https://openalex.org/W1511341063","https://openalex.org/W1593611388","https://openalex.org/W1968537633","https://openalex.org/W1978437745","https://openalex.org/W1979032637","https://openalex.org/W1980695038","https://openalex.org/W1985727709","https://openalex.org/W1987842033","https://openalex.org/W1995668896","https://openalex.org/W2022993606","https://openalex.org/W2026580946","https://openalex.org/W2030772655","https://openalex.org/W2036144352","https://openalex.org/W2058614123","https://openalex.org/W2064044137","https://openalex.org/W2069382953","https://openalex.org/W2135071386","https://openalex.org/W2163746916","https://openalex.org/W2165804617","https://openalex.org/W2165946199","https://openalex.org/W4242704675","https://openalex.org/W6620650853","https://openalex.org/W6628754928"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}