{"id":"https://openalex.org/W2010529763","doi":"https://doi.org/10.1007/s10444-007-9038-3","title":"Frame properties of wave packet systems in $L^2({\\mathbb R}^d)$","display_name":"Frame properties of wave packet systems in $L^2({\\mathbb R}^d)$","publication_year":2007,"publication_date":"2007-05-07","ids":{"openalex":"https://openalex.org/W2010529763","doi":"https://doi.org/10.1007/s10444-007-9038-3","mag":"2010529763"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-007-9038-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-007-9038-3","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066067609","display_name":"Ole Christensen","orcid":"https://orcid.org/0000-0001-6896-0241"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Ole Christensen","raw_affiliation_strings":["Department of Mathematics, Technical University of Denmark, Building 303, 2800, Lyngby, Denmark","#N##TAB##TAB##TAB##TAB# Technical University of Denmark#N##TAB##TAB##TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technical University of Denmark, Building 303, 2800, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Technical University of Denmark#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051523108","display_name":"Asghar Rahimi","orcid":"https://orcid.org/0000-0003-2095-6811"},"institutions":[{"id":"https://openalex.org/I143318147","display_name":"University of Maragheh","ror":"https://ror.org/0037djy87","country_code":"IR","type":"education","lineage":["https://openalex.org/I143318147"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Asghar Rahimi","raw_affiliation_strings":["Department of Mathematics, University of Maragheh, Maragheh, Iran","University of Maragheh"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Maragheh, Maragheh, Iran","institution_ids":["https://openalex.org/I143318147"]},{"raw_affiliation_string":"University of Maragheh","institution_ids":["https://openalex.org/I143318147"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066067609"],"corresponding_institution_ids":["https://openalex.org/I96673099"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9107,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":{"value":0.70487957,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"29","issue":"2","first_page":"101","last_page":"111"},"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.98089998960495,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.98089998960495,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.7676125764846802},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.7369980812072754},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6792324781417847},{"id":"https://openalex.org/keywords/wave-packet","display_name":"Wave packet","score":0.6592320799827576},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.571679949760437},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.5581619143486023},{"id":"https://openalex.org/keywords/frame-work","display_name":"Frame work","score":0.5307227373123169},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46909865736961365},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.45508626103401184},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.44826069474220276},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4426134526729584},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37848806381225586},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3557932674884796},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.21726661920547485},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17632421851158142},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16004347801208496},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.12093037366867065},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10458764433860779},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08459252119064331}],"concepts":[{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.7676125764846802},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.7369980812072754},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6792324781417847},{"id":"https://openalex.org/C106978608","wikidata":"https://www.wikidata.org/wiki/Q1412691","display_name":"Wave packet","level":2,"score":0.6592320799827576},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.571679949760437},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.5581619143486023},{"id":"https://openalex.org/C3018407679","wikidata":"https://www.wikidata.org/wiki/Q1289773","display_name":"Frame work","level":2,"score":0.5307227373123169},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46909865736961365},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.45508626103401184},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.44826069474220276},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4426134526729584},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37848806381225586},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3557932674884796},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.21726661920547485},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17632421851158142},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16004347801208496},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.12093037366867065},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10458764433860779},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08459252119064331},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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":1,"locations":[{"id":"doi:10.1007/s10444-007-9038-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-007-9038-3","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W224962721","https://openalex.org/W1544661965","https://openalex.org/W1569325951","https://openalex.org/W1967126940","https://openalex.org/W1993031273","https://openalex.org/W1993091970","https://openalex.org/W1998630480","https://openalex.org/W2004197884","https://openalex.org/W2010529763","https://openalex.org/W2032249561","https://openalex.org/W2046581343","https://openalex.org/W2095412973","https://openalex.org/W2119337797","https://openalex.org/W2123703406","https://openalex.org/W2320621213","https://openalex.org/W2341428437","https://openalex.org/W4253920814","https://openalex.org/W4292170079"],"related_works":["https://openalex.org/W3021068127","https://openalex.org/W2049939404","https://openalex.org/W3021415109","https://openalex.org/W2392166846","https://openalex.org/W76811607","https://openalex.org/W1848405970","https://openalex.org/W2011121568","https://openalex.org/W2273780518","https://openalex.org/W4287994782","https://openalex.org/W2995772672"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
