{"id":"https://openalex.org/W2290652970","doi":"https://doi.org/10.5220/0005512704730480","title":"An Explicit Bound for Stability of Sinc Bases","display_name":"An Explicit Bound for Stability of Sinc Bases","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2290652970","doi":"https://doi.org/10.5220/0005512704730480","mag":"2290652970"},"language":"en","primary_location":{"id":"doi:10.5220/0005512704730480","is_oa":true,"landing_page_url":"https://doi.org/10.5220/0005512704730480","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.5220/0005512704730480","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085985907","display_name":"Antonio Avantaggiati","orcid":null},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Antonio Avantaggiati","raw_affiliation_strings":["Sapienza Universit\u00e0 di Roma, Italy"],"affiliations":[{"raw_affiliation_string":"Sapienza Universit\u00e0 di Roma, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109001455","display_name":"Paola Loreti","orcid":null},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paola Loreti","raw_affiliation_strings":["Sapienza Universit\u00e0 di Roma, Italy"],"affiliations":[{"raw_affiliation_string":"Sapienza Universit\u00e0 di Roma, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066664813","display_name":"Pierluigi Vellucci","orcid":"https://orcid.org/0000-0002-4152-8341"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Pierluigi Vellucci","raw_affiliation_strings":["Sapienza Universit\u00e0 di Roma, Italy"],"affiliations":[{"raw_affiliation_string":"Sapienza Universit\u00e0 di Roma, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085985907"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":null,"apc_paid":null,"fwci":0.6732,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.75764041,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"473","last_page":"480"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9846000075340271,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9846000075340271,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11215","display_name":"Chronic Myeloid Leukemia Treatments","score":0.9334999918937683,"subfield":{"id":"https://openalex.org/subfields/2720","display_name":"Hematology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12508","display_name":"Functional Equations Stability Results","score":0.9117000102996826,"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/sinc-function","display_name":"Sinc function","score":0.9582002758979797},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7226260304450989},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6965246200561523},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.6311053037643433},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6188037991523743},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5496125221252441},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5359151363372803},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4689590036869049},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.4128061532974243},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3743007779121399},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21312212944030762},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07061108946800232}],"concepts":[{"id":"https://openalex.org/C152303783","wikidata":"https://www.wikidata.org/wiki/Q855949","display_name":"Sinc function","level":2,"score":0.9582002758979797},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7226260304450989},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6965246200561523},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6311053037643433},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6188037991523743},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5496125221252441},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5359151363372803},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4689590036869049},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.4128061532974243},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3743007779121399},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21312212944030762},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07061108946800232},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5220/0005512704730480","is_oa":true,"landing_page_url":"https://doi.org/10.5220/0005512704730480","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics","raw_type":"proceedings-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/849055","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/849055","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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/conferenceObject"}],"best_oa_location":{"id":"doi:10.5220/0005512704730480","is_oa":true,"landing_page_url":"https://doi.org/10.5220/0005512704730480","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3098833842","https://openalex.org/W2012136333","https://openalex.org/W4394883359","https://openalex.org/W1602624896","https://openalex.org/W1519862060","https://openalex.org/W1634993130","https://openalex.org/W2104564563","https://openalex.org/W32300376","https://openalex.org/W2794917831","https://openalex.org/W2013108996"],"abstract_inverted_index":{"It":[0],"is":[1,18,38,42,59,72],"well":[2],"known":[3],"that":[4,16,34],"exponential":[5,24],"Riesz":[6],"bases":[7],"are":[8],"stable.":[9],"The":[10,52],"celebrated":[11],"theorem":[12],"by":[13],"Kadec":[14],"shows":[15],"1/4":[17],"a":[19,43],"stability":[20,44,64,76],"bound":[21,45,65,77],"for":[22,46,66],"the":[23,39,47,55,63,67],"basis":[25,49,69],"on":[26,50,70],"L2":[27],"{-\u03c0,\u03c0).":[28],"In":[29],"this":[30],"paper":[31],"we":[32],"prove":[33],"\u03b1/\u03c0":[35],"(where":[36],"\u03b1":[37],"Lamb-Oseen":[40],"constant)":[41],"sine":[48],"L2(-\u03c0,\u03c0).":[51],"difference":[53],"between":[54],"two":[56],"values":[57],"\u03b1/\u03c0-1/4,":[58],"\u2248":[60],"0.15,":[61],"therefore":[62],"sinc":[68],"L2(-\u03c0,\u03c0)":[71],"greater":[73],"than":[74],"Kadec's":[75],"(i.e.":[78],"1/4).":[79]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}