{"id":"https://openalex.org/W562804971","doi":"https://doi.org/10.1007/978-3-0348-9169-1_4","title":"Representations of Compact Semigroups","display_name":"Representations of Compact Semigroups","publication_year":1988,"publication_date":"1988-01-01","ids":{"openalex":"https://openalex.org/W562804971","doi":"https://doi.org/10.1007/978-3-0348-9169-1_4","mag":"562804971"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-0348-9169-1_4","doi":"https://doi.org/10.1007/978-3-0348-9169-1_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-0348-9169-1_4","pdf_url":null,"source":{"id":"https://openalex.org/S4306462920","display_name":"Birkh\u00e4user Basel eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Introduction to the Theory of Banach Representations of Groups","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W4253489045","display_name":"Introduction to the Theory of Banach Representations of Groups"},"type":"book-chapter","is_traditional":true,"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/A5044139601","display_name":"Yurii Il'ich Lyubich","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yurii I. Lyubich","raw_affiliation_strings":["Khar\u2019kovskii Universitet, pl. Dzerzinskogo 4, Khar\u2019kov, 310077, Russia","Khar\u2019kovskii Universitet"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Khar\u2019kovskii Universitet, pl. Dzerzinskogo 4, Khar\u2019kov, 310077, Russia","institution_ids":[]},{"raw_affiliation_string":"Khar\u2019kovskii Universitet","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5044139601"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.211101,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"123","last_page":"185"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.42800000309944153,"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.42800000309944153,"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":0.2712000012397766,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.13120000064373016,"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/compact-semigroups","display_name":"compact semigroups","score":0.9259999990463257},{"id":"https://openalex.org/keywords/harmonic-analysis","display_name":"harmonic analysis","score":0.7360000014305115},{"id":"https://openalex.org/keywords/compact-galaxy-groups","display_name":"compact groups","score":0.8740000128746033},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.9089999794960022},{"id":"https://openalex.org/keywords/representation-theory","display_name":"representation theory","score":0.4099999964237213}],"concepts":[{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.6373162865638733},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5565118193626404},{"id":"https://openalex.org/C97720592","wikidata":"https://www.wikidata.org/wiki/Q7049222","display_name":"Noncommutative harmonic analysis","level":4,"score":0.5262112617492676},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5251926183700562},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.461550235748291},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4414159953594208},{"id":"https://openalex.org/C31498916","wikidata":"https://www.wikidata.org/wiki/Q583034","display_name":"Locally compact space","level":2,"score":0.4301101863384247},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4213123321533203},{"id":"https://openalex.org/C130133044","wikidata":"https://www.wikidata.org/wiki/Q1887083","display_name":"Compact group","level":3,"score":0.4202347695827484},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.42018574476242065},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.41423317790031433},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3957059681415558},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3947839140892029},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27748215198516846},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21332865953445435},{"id":"https://openalex.org/C58450382","wikidata":"https://www.wikidata.org/wiki/Q2147620","display_name":"Locally compact group","level":3,"score":0.1692553460597992},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1412743330001831},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.14041554927825928},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.09313568472862244},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06939160823822021},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0558854341506958},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-0348-9169-1_4","doi":"https://doi.org/10.1007/978-3-0348-9169-1_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-0348-9169-1_4","pdf_url":null,"source":{"id":"https://openalex.org/S4306462920","display_name":"Birkh\u00e4user Basel eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Introduction to the Theory of Banach Representations of Groups","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4387727024","https://openalex.org/W2478888116","https://openalex.org/W2505330015","https://openalex.org/W1596514868","https://openalex.org/W2331392900","https://openalex.org/W4231773635","https://openalex.org/W2067002593","https://openalex.org/W4241525910","https://openalex.org/W600247457","https://openalex.org/W4254369292"],"abstract_inverted_index":{"1\u00b0.":[0],"The":[1],"classical":[2],"prototype":[3],"(and":[4],"a":[5,12],"particular":[6],"case)":[7],"of":[8,18,29],"harmonic":[9],"analysis":[10],"on":[11],"compact":[13],"group":[14],"is":[15,44],"the":[16,40,47,53],"theory":[17],"odinary":[19],"Fourier":[20],"series.":[21],"We":[22],"survey":[23],"it":[24],"briefly":[25],"from":[26],"this":[27],"point":[28],"view.":[30],"These":[31],"keywords":[32,48],"were":[33],"added":[34],"by":[35,39],"machine":[36],"and":[37,46],"not":[38],"authors.":[41],"This":[42],"process":[43],"experimental":[45],"may":[49],"be":[50],"updated":[51],"as":[52],"learning":[54],"algorithm":[55],"improves.":[56]},"counts_by_year":[],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2016-06-24T00:00:00"}
