{"id":"https://openalex.org/W7127089623","doi":"https://doi.org/10.48550/arxiv.2601.22646","title":"On the BSE and BED properties of the Beurling algebra $L^1(G,\u03c9)$","display_name":"On the BSE and BED properties of the Beurling algebra $L^1(G,\u03c9)$","publication_year":2026,"publication_date":"2026-01-30","ids":{"openalex":"https://openalex.org/W7127089623","doi":"https://doi.org/10.48550/arxiv.2601.22646"},"language":null,"primary_location":{"id":"pmh:oai:arXiv.org:2601.22646","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2601.22646","pdf_url":"https://arxiv.org/pdf/2601.22646","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2601.22646","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5099633916","display_name":"Jekwin J. Dabhi","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dabhi, Jekwin J.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5028910571","display_name":"Prakash A. Dabhi","orcid":"https://orcid.org/0000-0001-9634-7006","observed_orcids":["https://orcid.org/0000-0001-9634-7006"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dabhi, Prakash A.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9589999914169312,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9589999914169312,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.030700000002980232,"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.0020000000949949026,"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/beurling-algebras","display_name":"Beurling algebras","score":0.9789999723434448},{"id":"https://openalex.org/keywords/locally-compact-abelian-groups","display_name":"locally compact abelian groups","score":0.9440000057220459},{"id":"https://openalex.org/keywords/weight","display_name":"weight","score":0.5099999904632568},{"id":"https://openalex.org/keywords/banach-algebras","display_name":"Banach algebras","score":0.6470000147819519}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6743000149726868},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6341999769210815},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.589900016784668},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.5493999719619751},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4666999876499176},{"id":"https://openalex.org/C31498916","wikidata":"https://www.wikidata.org/wiki/Q583034","display_name":"Locally compact space","level":2,"score":0.33899998664855957},{"id":"https://openalex.org/C31498916","wikidata":"https://www.wikidata.org/wiki/Q583034","display_name":"Locally compact space","level":2,"score":0.33889999985694885},{"id":"https://openalex.org/C2988995629","wikidata":"https://www.wikidata.org/wiki/Q2915729","display_name":"Matrix algebra","level":3,"score":0.31349998712539673},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.2976999878883362},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2915000021457672},{"id":"https://openalex.org/C2781106287","wikidata":"https://www.wikidata.org/wiki/Q806066","display_name":"Banach algebra","level":3,"score":0.2897999882698059},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2696000039577484},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.2651999890804291},{"id":"https://openalex.org/C39685927","wikidata":"https://www.wikidata.org/wiki/Q173183","display_name":"Boolean algebra","level":2,"score":0.2567000091075897},{"id":"https://openalex.org/C58450382","wikidata":"https://www.wikidata.org/wiki/Q2147620","display_name":"Locally compact group","level":3,"score":0.25099998712539673}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2601.22646","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2601.22646","pdf_url":"https://arxiv.org/pdf/2601.22646","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2601.22646","doi":"https://doi.org/10.48550/arxiv.2601.22646","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.22646","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2601.22646","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2601.22646","pdf_url":"https://arxiv.org/pdf/2601.22646","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Let":[0],"$G$":[1],"be":[2,13],"a":[3,14],"locally":[4,22],"compact":[5],"abelian":[6],"group,":[7],"and":[8,24,51],"let":[9],"$\u03c9:G":[10],"\\to":[11],"[1,\\infty)$":[12],"weight,":[15],"i.e.,":[16],"$\u03c9$":[17,20],"is":[18,21,35,47],"measurable,":[19],"bounded":[23],"$\u03c9(s+t)\\leq":[25],"\u03c9(s)\u03c9(t)$":[26],"for":[27],"all":[28],"$s,":[29],"t":[30],"\\in":[31],"G$.":[32],"If":[33],"$\u03c9^{-1}$":[34],"vanishing":[36],"at":[37],"infinity,":[38],"then":[39],"we":[40],"show":[41],"that":[42],"the":[43],"Beurling":[44],"algebra":[45,50],"$L^1(G,\u03c9)$":[46],"both":[48],"BSE-":[49],"BED-":[52],"algebra.":[53]},"counts_by_year":[],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2026-02-03T00:00:00"}