{"id":"https://openalex.org/W1968545081","doi":"https://doi.org/10.1007/s10444-010-9149-0","title":"Frames and their associated $\\emph{H}_{{\\kern-2pt}\\emph{F}}^{\\emph{p}}$ -subspaces","display_name":"Frames and their associated $\\emph{H}_{{\\kern-2pt}\\emph{F}}^{\\emph{p}}$ -subspaces","publication_year":2010,"publication_date":"2010-05-31","ids":{"openalex":"https://openalex.org/W1968545081","doi":"https://doi.org/10.1007/s10444-010-9149-0","mag":"1968545081"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-010-9149-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-010-9149-0","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/facultybib2010/1354","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":true,"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 32816"],"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 32816","institution_ids":["https://openalex.org/I106165777"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040981014","display_name":"Pengtong Li","orcid":"https://orcid.org/0000-0002-1279-9556"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pengtong Li","raw_affiliation_strings":["Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, People\u2019s Republic of China","Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China 210016#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, People\u2019s Republic of China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China 210016#TAB#","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110285081","display_name":"Wai-Shing Tang","orcid":null},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Wai-Shing Tang","raw_affiliation_strings":["Department of Mathematics, National University of Singapore, Singapore, 119076, Republic of Singapore","Department of Mathematics, National University of Singapore, Singapore, Republic of Singapore 119076#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Singapore, Singapore, 119076, Republic of Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"Department of Mathematics, National University of Singapore, Singapore, Republic of Singapore 119076#TAB#","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012358060"],"corresponding_institution_ids":["https://openalex.org/I106165777"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.07657104,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"34","issue":"2","first_page":"185","last_page":"200"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9998000264167786,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8574204444885254},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.7844735383987427},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6285403370857239},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.586421549320221},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5499120950698853},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5357208847999573},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5084494352340698},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39378541707992554},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3209514021873474},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31244581937789917}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8574204444885254},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.7844735383987427},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6285403370857239},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.586421549320221},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5499120950698853},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5357208847999573},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5084494352340698},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39378541707992554},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3209514021873474},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31244581937789917},{"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":4,"locations":[{"id":"doi:10.1007/s10444-010-9149-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-010-9149-0","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:scholarbank.nus.edu.sg:10635/103299","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/103299","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Article"},{"id":"pmh:oai:stars.library.ucf.edu:facultybib2010-2353","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/facultybib2010/1354","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 2010s","raw_type":"text"},{"id":"pmh:oai:stars.library.ucf.edu:scopus2010-4269","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/scopus2010/3270","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 2010-2014","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:stars.library.ucf.edu:facultybib2010-2353","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/facultybib2010/1354","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 2010s","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W18046889","https://openalex.org/W64449840","https://openalex.org/W1486874193","https://openalex.org/W1522659726","https://openalex.org/W1575723423","https://openalex.org/W1595546089","https://openalex.org/W1601778925","https://openalex.org/W1605417594","https://openalex.org/W1606802555","https://openalex.org/W1963682089","https://openalex.org/W1982109184","https://openalex.org/W2037348987","https://openalex.org/W2045842434","https://openalex.org/W2050507755","https://openalex.org/W2062024414","https://openalex.org/W2063781553","https://openalex.org/W2087780394","https://openalex.org/W2090759340","https://openalex.org/W2092260933","https://openalex.org/W2115755118","https://openalex.org/W2119337797","https://openalex.org/W2135071386","https://openalex.org/W2326057307","https://openalex.org/W4238072061","https://openalex.org/W4255272544","https://openalex.org/W4292170079"],"related_works":["https://openalex.org/W3100286349","https://openalex.org/W2896134808","https://openalex.org/W3172436493","https://openalex.org/W4287164812","https://openalex.org/W2957492749","https://openalex.org/W1887135636","https://openalex.org/W2386063599","https://openalex.org/W1975884855","https://openalex.org/W3213150849","https://openalex.org/W4285605394"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2016-06-24T00:00:00"}