{"id":"https://openalex.org/W1692092303","doi":"https://doi.org/10.3233/asy-2012-1112","title":"Inverse scattering problems for singular rank-one perturbations of a selfadjoint operator","display_name":"Inverse scattering problems for singular rank-one perturbations of a selfadjoint operator","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W1692092303","doi":"https://doi.org/10.3233/asy-2012-1112","mag":"1692092303"},"language":"en","primary_location":{"id":"doi:10.3233/asy-2012-1112","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2012-1112","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","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/A5109542159","display_name":"Kazushi Yoshitomi","orcid":null},"institutions":[{"id":"https://openalex.org/I69740276","display_name":"Tokyo Metropolitan University","ror":"https://ror.org/00ws30h19","country_code":"JP","type":"education","lineage":["https://openalex.org/I69740276"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kazushi Yoshitomi","raw_affiliation_strings":["Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minamiohsawa 1-1, Hachioji, Tokyo 192-0397, Japan. E-mail: yositomi@tmu.ac.jp"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minamiohsawa 1-1, Hachioji, Tokyo 192-0397, Japan. E-mail: yositomi@tmu.ac.jp","institution_ids":["https://openalex.org/I69740276"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109542159"],"corresponding_institution_ids":["https://openalex.org/I69740276"],"apc_list":null,"apc_paid":null,"fwci":0.8201,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65267921,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"80","issue":"3-4","first_page":"213","last_page":"221"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9998999834060669,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9987000226974487,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9973999857902527,"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/rank","display_name":"Rank (graph theory)","score":0.727104902267456},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6801740527153015},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6305674314498901},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5214711427688599},{"id":"https://openalex.org/keywords/inverse-scattering-problem","display_name":"Inverse scattering problem","score":0.5144684314727783},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.489477276802063},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4439657926559448},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3347659111022949},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.333554744720459},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13295114040374756},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.09156182408332825},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08837735652923584}],"concepts":[{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.727104902267456},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6801740527153015},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6305674314498901},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5214711427688599},{"id":"https://openalex.org/C174558057","wikidata":"https://www.wikidata.org/wiki/Q11639409","display_name":"Inverse scattering problem","level":3,"score":0.5144684314727783},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.489477276802063},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4439657926559448},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3347659111022949},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.333554744720459},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13295114040374756},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.09156182408332825},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08837735652923584},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-2012-1112","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2012-1112","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G371201755","display_name":"Inverse scattering problems for singular rank-one perturbations of a selfadjoint operator","funder_award_id":"23540219","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W128586474","https://openalex.org/W434172307","https://openalex.org/W1549023968","https://openalex.org/W1575147392","https://openalex.org/W1585894047","https://openalex.org/W1603023845","https://openalex.org/W1821971424","https://openalex.org/W1965557409","https://openalex.org/W1967535667","https://openalex.org/W1972441904","https://openalex.org/W2041893532","https://openalex.org/W2068242712","https://openalex.org/W2072535561","https://openalex.org/W2094078819","https://openalex.org/W2094553393","https://openalex.org/W2104369108","https://openalex.org/W2155504415","https://openalex.org/W2486860713"],"related_works":["https://openalex.org/W2128608246","https://openalex.org/W2520812953","https://openalex.org/W2144075718","https://openalex.org/W3101167575","https://openalex.org/W2545426741","https://openalex.org/W1567523647","https://openalex.org/W4321641047","https://openalex.org/W2755915683","https://openalex.org/W2033816073","https://openalex.org/W2331917905"],"abstract_inverted_index":{"We":[0,14],"study":[1],"inverse":[2],"scattering":[3,28],"problems":[4],"for":[5,21],"the":[6,27,37],"singular":[7,33],"rank-one":[8,34],"perturbations":[9],"of":[10,31,36],"a":[11,16,22,32],"selfadjoint":[12],"operator.":[13,38],"obtain":[15],"necessary":[17],"and":[18],"sufficient":[19],"condition":[20],"given":[23],"function":[24],"to":[25],"be":[26],"phase":[29],"shift":[30],"perturbation":[35]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
