{"id":"https://openalex.org/W66947680","doi":"https://doi.org/10.1007/3-540-26808-1_22","title":"Nonstationary Sibling Wavelet Frames on Bounded Intervals: the Duality Relation","display_name":"Nonstationary Sibling Wavelet Frames on Bounded Intervals: the Duality Relation","publication_year":2005,"publication_date":"2005-11-02","ids":{"openalex":"https://openalex.org/W66947680","doi":"https://doi.org/10.1007/3-540-26808-1_22","mag":"66947680"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-26808-1_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-26808-1_22","pdf_url":null,"source":{"id":"https://openalex.org/S4210191043","display_name":"Mathematics and visualization","issn_l":"1612-3786","issn":["1612-3786","2197-666X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Visualization","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/A5014404906","display_name":"Laura Beutel","orcid":null},"institutions":[{"id":"https://openalex.org/I173888879","display_name":"SINTEF","ror":"https://ror.org/01f677e56","country_code":"NO","type":"facility","lineage":["https://openalex.org/I173888879"]},{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE","NO"],"is_corresponding":true,"raw_author_name":"Laura Beutel","raw_affiliation_strings":["Institute of Applied Mathematics, University of Dortmund, Germany","SINTEF Applied Mathematics, Oslo, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, University of Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]},{"raw_affiliation_string":"SINTEF Applied Mathematics, Oslo, Norway","institution_ids":["https://openalex.org/I173888879"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014404906"],"corresponding_institution_ids":["https://openalex.org/I173888879","https://openalex.org/I200332995"],"apc_list":null,"apc_paid":null,"fwci":1.0803,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.77190876,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"391","last_page":"403"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9868999719619751,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9643999934196472,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/relation","display_name":"Relation (database)","score":0.7694145441055298},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.7599112391471863},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7324230670928955},{"id":"https://openalex.org/keywords/sibling","display_name":"Sibling","score":0.6140579581260681},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6054154634475708},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5931752920150757},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5630572438240051},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4931163489818573},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.36028552055358887},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3375702500343323},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3255002498626709},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31512558460235596},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23257538676261902},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20066073536872864},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.18843680620193481},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1363796591758728},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07193693518638611},{"id":"https://openalex.org/keywords/developmental-psychology","display_name":"Developmental psychology","score":0.0581187903881073},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.04609757661819458}],"concepts":[{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.7694145441055298},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.7599112391471863},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7324230670928955},{"id":"https://openalex.org/C2776194465","wikidata":"https://www.wikidata.org/wiki/Q31184","display_name":"Sibling","level":2,"score":0.6140579581260681},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6054154634475708},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5931752920150757},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5630572438240051},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4931163489818573},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.36028552055358887},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3375702500343323},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3255002498626709},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31512558460235596},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23257538676261902},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20066073536872864},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.18843680620193481},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1363796591758728},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07193693518638611},{"id":"https://openalex.org/C138496976","wikidata":"https://www.wikidata.org/wiki/Q175002","display_name":"Developmental psychology","level":1,"score":0.0581187903881073},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.04609757661819458},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-26808-1_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-26808-1_22","pdf_url":null,"source":{"id":"https://openalex.org/S4210191043","display_name":"Mathematics and visualization","issn_l":"1612-3786","issn":["1612-3786","2197-666X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Visualization","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.7200000286102295,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W580460520","https://openalex.org/W657753731","https://openalex.org/W1486874193","https://openalex.org/W1506013563","https://openalex.org/W1565463375","https://openalex.org/W1567470553","https://openalex.org/W1993077418","https://openalex.org/W2062024414","https://openalex.org/W2125555749","https://openalex.org/W2899285952","https://openalex.org/W3132971798","https://openalex.org/W4205354563","https://openalex.org/W4255272544","https://openalex.org/W6629313561"],"related_works":["https://openalex.org/W2041680478","https://openalex.org/W2928779273","https://openalex.org/W1533019231","https://openalex.org/W2925236493","https://openalex.org/W2767797790","https://openalex.org/W2415331442","https://openalex.org/W2072112180","https://openalex.org/W2408939458","https://openalex.org/W2023827755","https://openalex.org/W2382174632"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}