{"id":"https://openalex.org/W1993736459","doi":"https://doi.org/10.1016/s0021-9045(03)00069-8","title":"Summability of orthogonal expansions of several variables","display_name":"Summability of orthogonal expansions of several variables","publication_year":2003,"publication_date":"2003-05-12","ids":{"openalex":"https://openalex.org/W1993736459","doi":"https://doi.org/10.1016/s0021-9045(03)00069-8","mag":"1993736459"},"language":"en","primary_location":{"id":"doi:10.1016/s0021-9045(03)00069-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0021-9045(03)00069-8","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/A5101445647","display_name":"Zhongkai Li","orcid":"https://orcid.org/0000-0002-0635-8164"},"institutions":[{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongkai Li","raw_affiliation_strings":["Department of Mathematics, Capital Normal University, Beijing 100037, China","Department of Mathematics, Capital Normal University, Beijing, 100037 (China)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Capital Normal University, Beijing 100037, China","institution_ids":["https://openalex.org/I96852419"]},{"raw_affiliation_string":"Department of Mathematics, Capital Normal University, Beijing, 100037 (China)","institution_ids":["https://openalex.org/I96852419"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101667089","display_name":"Yuan Xu","orcid":"https://orcid.org/0000-0001-9228-3818"},"institutions":[{"id":"https://openalex.org/I181233156","display_name":"University of Oregon","ror":"https://ror.org/0293rh119","country_code":"US","type":"education","lineage":["https://openalex.org/I181233156"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yuan Xu","raw_affiliation_strings":["Department of Mathematics, University of Oregon, Eugene, OR 97403-1222, USA","Department of Mathematics, University of Oregon, Eugene, OR"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Oregon, Eugene, OR 97403-1222, USA","institution_ids":["https://openalex.org/I181233156"]},{"raw_affiliation_string":"Department of Mathematics, University of Oregon, Eugene, OR","institution_ids":["https://openalex.org/I181233156"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101667089"],"corresponding_institution_ids":["https://openalex.org/I181233156"],"apc_list":{"value":2720,"currency":"USD","value_usd":2720},"apc_paid":null,"fwci":3.5427,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.91959799,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"122","issue":"2","first_page":"267","last_page":"333"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9991999864578247,"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":0.9991999864578247,"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9976000189781189,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9973999857902527,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9402843713760376},{"id":"https://openalex.org/keywords/unit-sphere","display_name":"Unit sphere","score":0.6811094284057617},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5822134017944336},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5389907956123352},{"id":"https://openalex.org/keywords/weight-function","display_name":"Weight function","score":0.5083951354026794},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4970445930957794},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.43334487080574036},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33664852380752563}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9402843713760376},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.6811094284057617},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5822134017944336},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5389907956123352},{"id":"https://openalex.org/C134466208","wikidata":"https://www.wikidata.org/wiki/Q1520657","display_name":"Weight function","level":2,"score":0.5083951354026794},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4970445930957794},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.43334487080574036},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33664852380752563},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0021-9045(03)00069-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0021-9045(03)00069-8","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:CiteSeerX.psu:10.1.1.8.689","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.8.689","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://darkwing.uoregon.edu/~yuan/paper/Li-Xu.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W109909665","https://openalex.org/W188223424","https://openalex.org/W1483324267","https://openalex.org/W1504011318","https://openalex.org/W1543184096","https://openalex.org/W1559907478","https://openalex.org/W1660917076","https://openalex.org/W1975695006","https://openalex.org/W1978553464","https://openalex.org/W1981247221","https://openalex.org/W1999014216","https://openalex.org/W2025585140","https://openalex.org/W2041517399","https://openalex.org/W2070503385","https://openalex.org/W2088650904","https://openalex.org/W2090320043","https://openalex.org/W2130010995","https://openalex.org/W2330548796","https://openalex.org/W2482833095","https://openalex.org/W2578520101","https://openalex.org/W2670388660","https://openalex.org/W4229869531","https://openalex.org/W4230199773","https://openalex.org/W6645744117","https://openalex.org/W6679371779"],"related_works":["https://openalex.org/W2549643127","https://openalex.org/W2016092567","https://openalex.org/W1654151311","https://openalex.org/W164930789","https://openalex.org/W2387072865","https://openalex.org/W2804455714","https://openalex.org/W2048403683","https://openalex.org/W3046438935","https://openalex.org/W2989846825","https://openalex.org/W4283019039"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}