{"id":"https://openalex.org/W4406301892","doi":"https://doi.org/10.48550/arxiv.2408.01186","title":"Sign uncertainty and de Branges spaces","display_name":"Sign uncertainty and de Branges spaces","publication_year":2024,"publication_date":"2024-08-02","ids":{"openalex":"https://openalex.org/W4406301892","doi":"https://doi.org/10.48550/arxiv.2408.01186"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2408.01186","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2408.01186","pdf_url":"https://arxiv.org/pdf/2408.01186","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/2408.01186","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031470234","display_name":"Emanuel Carneiro","orcid":"https://orcid.org/0000-0001-6229-1139","observed_orcids":["https://orcid.org/0000-0001-6229-1139"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Carneiro, Emanuel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115857016","display_name":"Tolibjon Ismoilov","orcid":"https://orcid.org/0009-0007-5981-4462","observed_orcids":["https://orcid.org/0009-0007-5981-4462"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ismoilov, Tolibjon","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5043106863","display_name":"Antonio Pedro Ramos","orcid":"https://orcid.org/0000-0002-6813-1379","observed_orcids":["https://orcid.org/0000-0002-6813-1379","https://orcid.org/0009-0001-4495-2084"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ramos, Antonio Pedro","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":true,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9872999787330627,"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":0.9872999787330627,"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/T11166","display_name":"Analytic Number Theory Research","score":0.007799999788403511,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11191","display_name":"Mathematical functions and polynomials","score":0.0010999999940395355,"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/bandlimited-functions","display_name":"band-limited functions","score":0.9449999928474426},{"id":"https://openalex.org/keywords/de-branges-spaces","display_name":"de Branges spaces","score":0.9559999704360962},{"id":"https://openalex.org/keywords/entire-functions","display_name":"entire functions","score":0.9629999995231628},{"id":"https://openalex.org/keywords/sharp-constants","display_name":"sharp constants","score":0.8209999799728394},{"id":"https://openalex.org/keywords/extremizers","display_name":"extremizers","score":0.984000027179718},{"id":"https://openalex.org/keywords/zeros-of-l-functions","display_name":"zeros of L-functions","score":0.9629999995231628},{"id":"https://openalex.org/keywords/number-theory","display_name":"number theory","score":0.6800000071525574}],"concepts":[{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.7579927444458008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3712902069091797},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1913958191871643}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2408.01186","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2408.01186","pdf_url":"https://arxiv.org/pdf/2408.01186","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":"pmh:oai:iris.sissa.it:20.500.11767/152692","doi":null,"is_oa":false,"landing_page_url":"https://hdl.handle.net/20.500.11767/152692","pdf_url":null,"source":{"id":"https://openalex.org/S7407055192","display_name":"SDL","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2408.01186","doi":"https://doi.org/10.48550/arxiv.2408.01186","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2408.01186","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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2408.01186","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2408.01186","pdf_url":"https://arxiv.org/pdf/2408.01186","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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4406301892.pdf","grobid_xml":"https://content.openalex.org/works/W4406301892.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4405175920","https://openalex.org/W7216691330","https://openalex.org/W2579615275","https://openalex.org/W2965034334","https://openalex.org/W2068716756","https://openalex.org/W2014479493","https://openalex.org/W7155398311","https://openalex.org/W2016151856","https://openalex.org/W6980940532","https://openalex.org/W7207932429"],"abstract_inverted_index":{"We":[0,58],"investigate":[1],"here":[2],"the":[3,31,45,50],"sign":[4],"uncertainty":[5],"phenomenon":[6],"for":[7,69],"bandlimited":[8],"functions,":[9,39],"with":[10,17],"a":[11,20,27,53],"competing":[12],"condition":[13],"given":[14],"by":[15],"integration":[16],"respect":[18],"to":[19,30,43,67],"general":[21],"measure.":[22],"Our":[23],"main":[24],"result":[25],"provides":[26],"framework":[28],"related":[29],"theory":[32],"of":[33,37,56,71],"de":[34],"Branges":[35],"spaces":[36],"entire":[38],"that":[40],"allows":[41],"one":[42],"find":[44],"sharp":[46],"constants":[47],"and":[48],"classify":[49],"extremizers":[51],"in":[52,62,65],"broad":[54],"range":[55],"situations.":[57],"discuss":[59],"an":[60],"application":[61],"number":[63],"theory,":[64],"connection":[66],"bounds":[68],"zeros":[70],"$L$-functions.":[72]},"counts_by_year":[],"updated_date":"2026-10-24T09:50:30.924529","created_date":"2025-01-13T00:00:00"}
