{"id":"https://openalex.org/W52454379","doi":"https://doi.org/10.1023/a:1021312429186","title":"Frames Associated with Measurable Spaces","display_name":"Frames Associated with Measurable Spaces","publication_year":2003,"publication_date":"2003-02-01","ids":{"openalex":"https://openalex.org/W52454379","doi":"https://doi.org/10.1023/a:1021312429186","mag":"52454379"},"language":"en","primary_location":{"id":"doi:10.1023/a:1021312429186","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1021312429186","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://stars.library.ucf.edu/facultybib2000/3762","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062510355","display_name":"Jean\u2010Pierre Gabardo","orcid":"https://orcid.org/0000-0002-1209-6965"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jean-Pierre Gabardo","raw_affiliation_strings":["Department of Mathematics and Statistics, McMaster University, Hamilton, ON, L8S 4K1, Canada","Department of Mathematics and Statistics, McMaster University, Hamilton, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, McMaster University, Hamilton, ON, L8S 4K1, Canada","institution_ids":["https://openalex.org/I98251732"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, McMaster University, Hamilton, Canada","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012358060","display_name":"Deguang Han","orcid":"https://orcid.org/0000-0003-1104-4714"},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Deguang Han","raw_affiliation_strings":["Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USA","Department of Mathematics, University of Central Florida, Orlando, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USA","institution_ids":["https://openalex.org/I106165777"]},{"raw_affiliation_string":"Department of Mathematics, University of Central Florida, Orlando, USA","institution_ids":["https://openalex.org/I106165777"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.0009,"has_fulltext":false,"cited_by_count":165,"citation_normalized_percentile":{"value":0.82446264,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"18","issue":"2-4","first_page":"127","last_page":"147"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9994000196456909,"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":0.9994000196456909,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9314000010490417,"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9294000267982483,"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":0.7468486428260803},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.568665623664856},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.48125120997428894},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.4382782280445099},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3609467148780823},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32020676136016846},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.256400465965271},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23384609818458557},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18467804789543152},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.09446683526039124}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7468486428260803},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.568665623664856},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.48125120997428894},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.4382782280445099},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3609467148780823},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32020676136016846},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.256400465965271},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23384609818458557},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18467804789543152},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.09446683526039124},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1023/a:1021312429186","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1021312429186","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:stars.library.ucf.edu:facultybib2000-4761","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/facultybib2000/3762","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Bibliography 2000s","raw_type":"text"},{"id":"pmh:oai:stars.library.ucf.edu:scopus2000-2874","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/scopus2000/1875","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus Export 2000s","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:stars.library.ucf.edu:facultybib2000-4761","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/facultybib2000/3762","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Bibliography 2000s","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W627440691","https://openalex.org/W1488231118","https://openalex.org/W1546772397","https://openalex.org/W1583063452","https://openalex.org/W1605417594","https://openalex.org/W1654995442","https://openalex.org/W1945843680","https://openalex.org/W1963682089","https://openalex.org/W1969872346","https://openalex.org/W2021722152","https://openalex.org/W2024234884","https://openalex.org/W2050507755","https://openalex.org/W2062024414","https://openalex.org/W2068617089","https://openalex.org/W2087377426","https://openalex.org/W2126777570","https://openalex.org/W2182304189","https://openalex.org/W4242359720","https://openalex.org/W4255272544"],"related_works":["https://openalex.org/W3132983279","https://openalex.org/W4255837520","https://openalex.org/W2495356367","https://openalex.org/W2387011115","https://openalex.org/W4234808182","https://openalex.org/W4255628145","https://openalex.org/W2382043075","https://openalex.org/W4390638272","https://openalex.org/W1522520750","https://openalex.org/W2809151339"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":17},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":16},{"year":2012,"cited_by_count":6}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2016-06-24T00:00:00"}
