{"id":"https://openalex.org/W433279798","doi":null,"title":"A restriction theorem for the Heisenberg motion","display_name":"A restriction theorem for the Heisenberg motion","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W433279798","mag":"433279798"},"language":"en","primary_location":{"id":"mag:433279798","doi":null,"is_oa":false,"landing_page_url":"http://repository.ias.ac.in/64420/","pdf_url":null,"source":{"id":"https://openalex.org/S7365561","display_name":"Studia Mathematica","issn_l":"0039-3223","issn":["0039-3223","1730-6337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310317485","host_organization_name":"Polish Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310317485"],"host_organization_lineage_names":["Polish Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Studia Mathematica","raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5058581366","display_name":"P. K. Ratnakumar","orcid":"https://orcid.org/0000-0003-1069-7174","observed_orcids":["https://orcid.org/0000-0003-1069-7174"]},"institutions":[{"id":"https://openalex.org/I4405280447","display_name":"Indian Statistical Institute, Bangalore Centre","ror":"https://ror.org/02yqprq16","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405280447","https://openalex.org/I6498739"]},{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"P. K. Ratnakumar","raw_affiliation_strings":["Statistics & Mathematics Unit Indian Statistical Institute 8th Mile, Mysore Road Bangalore 560 059, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Statistics & Mathematics Unit Indian Statistical Institute 8th Mile, Mysore Road Bangalore 560 059, India","institution_ids":["https://openalex.org/I4405280447","https://openalex.org/I6498739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054152461","display_name":"Rama Rawat","orcid":"https://orcid.org/0009-0009-3711-2018","observed_orcids":["https://orcid.org/0009-0009-3711-2018"]},"institutions":[{"id":"https://openalex.org/I4405280447","display_name":"Indian Statistical Institute, Bangalore Centre","ror":"https://ror.org/02yqprq16","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405280447","https://openalex.org/I6498739"]},{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rama Rawat","raw_affiliation_strings":["Statistics & Mathematics Unit Indian Statistical Institute 8th Mile, Mysore Road Bangalore 560 059, India"],"raw_orcid":"https://orcid.org/0009-0009-3711-2018","affiliations":[{"raw_affiliation_string":"Statistics & Mathematics Unit Indian Statistical Institute 8th Mile, Mysore Road Bangalore 560 059, India","institution_ids":["https://openalex.org/I4405280447","https://openalex.org/I6498739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112199444","display_name":"Sundaram Thangavelu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405280447","display_name":"Indian Statistical Institute, Bangalore Centre","ror":"https://ror.org/02yqprq16","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405280447","https://openalex.org/I6498739"]},{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sundaram Thangavelu","raw_affiliation_strings":["Statistics & Mathematics Unit Indian Statistical Institute 8th Mile, Mysore Road Bangalore 560 059, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Statistics & Mathematics Unit Indian Statistical Institute 8th Mile, Mysore Road Bangalore 560 059, India","institution_ids":["https://openalex.org/I4405280447","https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7027,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.78581251,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"126","issue":"1","first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.8877000212669373,"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":0.8877000212669373,"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":0.03909999877214432,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.03579999879002571,"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/restriction-theorems","display_name":"restriction theorems","score":0.890999972820282},{"id":"https://openalex.org/keywords/heisenberg-group","display_name":"Heisenberg group","score":0.9319999814033508},{"id":"https://openalex.org/keywords/representation-theory-of-lie-groups","display_name":"representation theory of Lie groups","score":0.5870000123977661}],"concepts":[{"id":"https://openalex.org/C127519595","wikidata":"https://www.wikidata.org/wiki/Q1601337","display_name":"Heisenberg group","level":2,"score":0.8905805349349976},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8314326405525208},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5445627570152283},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.539176344871521},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4648742973804474},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.46225613355636597},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41196635365486145},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09084948897361755},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.06618505716323853},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.05933040380477905},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.047451913356781006},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:433279798","doi":null,"is_oa":false,"landing_page_url":"http://repository.ias.ac.in/64420/","pdf_url":null,"source":{"id":"https://openalex.org/S7365561","display_name":"Studia Mathematica","issn_l":"0039-3223","issn":["0039-3223","1730-6337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310317485","host_organization_name":"Polish Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310317485"],"host_organization_lineage_names":["Polish Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Studia Mathematica","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W149941198","https://openalex.org/W1537686358","https://openalex.org/W1572971621","https://openalex.org/W1584610719","https://openalex.org/W1977382531","https://openalex.org/W1979934557","https://openalex.org/W1982040957","https://openalex.org/W2010195498","https://openalex.org/W2037365493","https://openalex.org/W2057438496","https://openalex.org/W2079686181","https://openalex.org/W2318368089","https://openalex.org/W2567165719","https://openalex.org/W3036926079"],"related_works":["https://openalex.org/W2352441892","https://openalex.org/W4237972291","https://openalex.org/W1537686358","https://openalex.org/W260006597","https://openalex.org/W2501908618","https://openalex.org/W2090345748","https://openalex.org/W6988062446","https://openalex.org/W7096164806","https://openalex.org/W2060024543","https://openalex.org/W6988609209"],"abstract_inverted_index":{"We":[0,34],"prove":[1,36],"a":[2,37],"restriction":[3,22,38],"theorem":[4,23,39],"for":[5,24,40],"the":[6,10,21,25,41],"class-1":[7],"representations":[8],"of":[9,20],"Heisenberg":[11,42],"motion":[12],"group.":[13,43],"This":[14],"is":[15],"done":[16],"using":[17],"an":[18],"improvement":[19],"special":[26],"Hermite":[27],"projection":[28],"operation":[29],"operators":[30],"proved":[31],"in":[32],"[13].":[33],"also":[35]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}