{"id":"https://openalex.org/W1994313662","doi":"https://doi.org/10.1007/s10444-013-9336-x","title":"Adjoint translation, adjoint observable and uncertainty principles","display_name":"Adjoint translation, adjoint observable and uncertainty principles","publication_year":2013,"publication_date":"2013-11-29","ids":{"openalex":"https://openalex.org/W1994313662","doi":"https://doi.org/10.1007/s10444-013-9336-x","mag":"1994313662"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-013-9336-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-013-9336-x","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/A5001833718","display_name":"Ron Levie","orcid":"https://orcid.org/0000-0003-3004-7515"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"R. Levie","raw_affiliation_strings":["School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel","School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel 69978"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel 69978","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035247857","display_name":"Hans\u2010Georg Stark","orcid":null},"institutions":[{"id":"https://openalex.org/I4210158205","display_name":"Aschaffenburg University of Applied Sciences","ror":"https://ror.org/04sms9203","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210158205"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"H.-G. Stark","raw_affiliation_strings":["Aschaffenburg University of Applied Sciences, W\u00fcrzburger Str. 45, 63743, Aschaffenburg, Germany","Aschaffenburg University of Applied Sciences, Aschaffenburg, Germany 63743#TAB#"],"affiliations":[{"raw_affiliation_string":"Aschaffenburg University of Applied Sciences, W\u00fcrzburger Str. 45, 63743, Aschaffenburg, Germany","institution_ids":["https://openalex.org/I4210158205"]},{"raw_affiliation_string":"Aschaffenburg University of Applied Sciences, Aschaffenburg, Germany 63743#TAB#","institution_ids":["https://openalex.org/I4210158205"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075386533","display_name":"Florian Lieb","orcid":"https://orcid.org/0000-0003-0076-7183"},"institutions":[{"id":"https://openalex.org/I4210158205","display_name":"Aschaffenburg University of Applied Sciences","ror":"https://ror.org/04sms9203","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210158205"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"F. Lieb","raw_affiliation_strings":["Aschaffenburg University of Applied Sciences, W\u00fcrzburger Str. 45, 63743, Aschaffenburg, Germany","Aschaffenburg University of Applied Sciences, Aschaffenburg, Germany 63743#TAB#"],"affiliations":[{"raw_affiliation_string":"Aschaffenburg University of Applied Sciences, W\u00fcrzburger Str. 45, 63743, Aschaffenburg, Germany","institution_ids":["https://openalex.org/I4210158205"]},{"raw_affiliation_string":"Aschaffenburg University of Applied Sciences, Aschaffenburg, Germany 63743#TAB#","institution_ids":["https://openalex.org/I4210158205"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030076264","display_name":"Nir Sochen","orcid":"https://orcid.org/0000-0001-7805-5560"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"N. Sochen","raw_affiliation_strings":["School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel","School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel 69978"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel 69978","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5001833718"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4826,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.62161745,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"40","issue":"3","first_page":"609","last_page":"627"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9984999895095825,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9793999791145325,"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":0.6810710430145264},{"id":"https://openalex.org/keywords/uncertainty-principle","display_name":"Uncertainty principle","score":0.6809005737304688},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.6533437967300415},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5418996810913086},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5395634770393372},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5240592956542969},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4370659291744232},{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.4249565303325653},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4124400317668915},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36619633436203003},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35658276081085205},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24271973967552185},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.23471006751060486},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17729654908180237},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.14203745126724243},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.10086795687675476},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10056161880493164},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09609237313270569}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6810710430145264},{"id":"https://openalex.org/C181543814","wikidata":"https://www.wikidata.org/wiki/Q44746","display_name":"Uncertainty principle","level":3,"score":0.6809005737304688},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.6533437967300415},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5418996810913086},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5395634770393372},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5240592956542969},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4370659291744232},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.4249565303325653},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4124400317668915},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36619633436203003},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35658276081085205},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24271973967552185},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.23471006751060486},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17729654908180237},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.14203745126724243},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.10086795687675476},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10056161880493164},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09609237313270569},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-013-9336-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-013-9336-x","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":17,"referenced_works":["https://openalex.org/W1491749950","https://openalex.org/W1504272734","https://openalex.org/W1605417594","https://openalex.org/W1812800634","https://openalex.org/W2008992724","https://openalex.org/W2009129962","https://openalex.org/W2029487796","https://openalex.org/W2031010505","https://openalex.org/W2043158447","https://openalex.org/W2068826513","https://openalex.org/W2071780698","https://openalex.org/W2098867387","https://openalex.org/W2116863932","https://openalex.org/W2137852732","https://openalex.org/W2186861219","https://openalex.org/W2567165719","https://openalex.org/W4255272544"],"related_works":["https://openalex.org/W2033672691","https://openalex.org/W4224872510","https://openalex.org/W2978098700","https://openalex.org/W4225639054","https://openalex.org/W2333117646","https://openalex.org/W4317547841","https://openalex.org/W4285806401","https://openalex.org/W1967434260","https://openalex.org/W3100803765","https://openalex.org/W3153476651"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
