{"id":"https://openalex.org/W216632861","doi":"https://doi.org/10.1016/b978-0-12-174585-1.50013-0","title":"APPROXIMATION BY HARMONIC FUNCTIONS","display_name":"APPROXIMATION BY HARMONIC FUNCTIONS","publication_year":1987,"publication_date":"1987-01-01","ids":{"openalex":"https://openalex.org/W216632861","doi":"https://doi.org/10.1016/b978-0-12-174585-1.50013-0","mag":"216632861"},"language":"en","primary_location":{"id":"doi:10.1016/b978-0-12-174585-1.50013-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/b978-0-12-174585-1.50013-0","pdf_url":null,"source":{"id":"https://openalex.org/S4306463230","display_name":"Elsevier eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Topics in Multivariate Approximation","raw_type":"book-chapter"},"type":"book-chapter","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/A5012197731","display_name":"Werner Hau\u00dfmann","orcid":"https://orcid.org/0009-0000-8672-0196"},"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":true,"raw_author_name":"Werner Haussmann","raw_affiliation_strings":["Department of Mathematics, University of Duisburg, 4100 Duisburg, West Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Duisburg, 4100 Duisburg, West Germany","institution_ids":["https://openalex.org/I62318514"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012197731"],"corresponding_institution_ids":["https://openalex.org/I62318514"],"apc_list":null,"apc_paid":null,"fwci":2.9855,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.90466926,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"111","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9977999925613403,"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9977999925613403,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.7409428358078003},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6570219993591309},{"id":"https://openalex.org/keywords/harmonic-function","display_name":"Harmonic function","score":0.6444309949874878},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6063998937606812},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5765386819839478},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.5096404552459717},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49166470766067505},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.4372764229774475},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4275054931640625},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32044386863708496},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13618779182434082},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.056635528802871704}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7409428358078003},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6570219993591309},{"id":"https://openalex.org/C627467","wikidata":"https://www.wikidata.org/wiki/Q599027","display_name":"Harmonic function","level":2,"score":0.6444309949874878},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6063998937606812},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5765386819839478},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.5096404552459717},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49166470766067505},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.4372764229774475},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4275054931640625},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32044386863708496},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13618779182434082},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.056635528802871704},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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":1,"locations":[{"id":"doi:10.1016/b978-0-12-174585-1.50013-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/b978-0-12-174585-1.50013-0","pdf_url":null,"source":{"id":"https://openalex.org/S4306463230","display_name":"Elsevier eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Topics in Multivariate Approximation","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W579078008","https://openalex.org/W1531246700","https://openalex.org/W1591196465","https://openalex.org/W1600681068","https://openalex.org/W1965738715","https://openalex.org/W1968466080","https://openalex.org/W1970356450","https://openalex.org/W1973712694","https://openalex.org/W1987431962","https://openalex.org/W2006855625","https://openalex.org/W2012318642","https://openalex.org/W2014224151","https://openalex.org/W2025117977","https://openalex.org/W2026065874","https://openalex.org/W2029218027","https://openalex.org/W2044934367","https://openalex.org/W2046112947","https://openalex.org/W2048397631","https://openalex.org/W2056109239","https://openalex.org/W2066837441","https://openalex.org/W2076832128","https://openalex.org/W2186751051","https://openalex.org/W2283233074","https://openalex.org/W2320782294","https://openalex.org/W2419835704","https://openalex.org/W2584545461","https://openalex.org/W2724635206","https://openalex.org/W3022014725","https://openalex.org/W3108043981","https://openalex.org/W3182366729","https://openalex.org/W3188136080","https://openalex.org/W4205163428","https://openalex.org/W4239098970","https://openalex.org/W4251373172","https://openalex.org/W4251969858","https://openalex.org/W4292360407","https://openalex.org/W6616723044","https://openalex.org/W6657800462","https://openalex.org/W6686904757","https://openalex.org/W6695435224","https://openalex.org/W6833262287"],"related_works":["https://openalex.org/W2044787408","https://openalex.org/W4249228129","https://openalex.org/W3104927070","https://openalex.org/W2019140719","https://openalex.org/W155593081","https://openalex.org/W1506619710","https://openalex.org/W4313890004","https://openalex.org/W2360188928","https://openalex.org/W3193633018","https://openalex.org/W4313447743"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
