{"id":"https://openalex.org/W2014945531","doi":"https://doi.org/10.1090/s0025-5718-2012-02595-6","title":"Eigenvalue decay of positive integral operators on the sphere","display_name":"Eigenvalue decay of positive integral operators on the sphere","publication_year":2012,"publication_date":"2012-03-20","ids":{"openalex":"https://openalex.org/W2014945531","doi":"https://doi.org/10.1090/s0025-5718-2012-02595-6","mag":"2014945531"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1090/s0025-5718-2012-02595-6","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["1088-6842","0025-5718"],"is_oa":false,"is_in_doaj":false,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037949420","display_name":"M. H. Castro","orcid":"https://orcid.org/0000-0002-7841-0646"},"institutions":[{"id":"https://openalex.org/I80850581","display_name":"Universidade Federal de Uberl\u00e2ndia","ror":"https://ror.org/04x3wvr31","country_code":"BR","type":"education","lineage":["https://openalex.org/I80850581"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"M. H Castro","raw_affiliation_string":"Faculdade de Matem\u00c3\u00a1tica, Universidade Federal de Uberl\u00c3\u00a2ndia, Caixa Postal 593, 38400-902, Uberl\u00c3\u00a2ndia-MG, Brasil","raw_affiliation_strings":["Faculdade de Matem\u00c3\u00a1tica, Universidade Federal de Uberl\u00c3\u00a2ndia, Caixa Postal 593, 38400-902, Uberl\u00c3\u00a2ndia-MG, Brasil"]},{"author_position":"last","author":{"id":"https://openalex.org/A5054878017","display_name":"V. A. Menegatto","orcid":null},"institutions":[],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Valdir Ant\u00f4nio Menegatto","raw_affiliation_string":"Departamento de Matem\u00c3\u00a1tica, ICMC-USP, S\u00c3\u00a3o Carlos, Caixa Postal 668, 13560-970, S\u00c3\u00a3o Carlos-SP, Brasil","raw_affiliation_strings":["Departamento de Matem\u00c3\u00a1tica, ICMC-USP, S\u00c3\u00a3o Carlos, Caixa Postal 668, 13560-970, S\u00c3\u00a3o Carlos-SP, Brasil"]}],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":22,"cited_by_percentile_year":{"min":92,"max":93},"biblio":{"volume":"81","issue":"280","first_page":"2303","last_page":"2317"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory of Differential Operators","score":0.9972,"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/T11022","display_name":"Spectral Theory of Differential Operators","score":0.9972,"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/T11654","display_name":"Global Well-Posedness of Nonlinear Wave Equations","score":0.9969,"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/T11049","display_name":"Harmonic Analysis and Operator Theory","score":0.9955,"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":[{"keyword":"positive integral operators","score":0.687},{"keyword":"eigenvalue decay","score":0.6169}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.61175805},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4313753},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40766358},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36512038},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33933336},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.115486324},{"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":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1090/s0025-5718-2012-02595-6","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["1088-6842","0025-5718"],"is_oa":false,"is_in_doaj":false,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"referenced_works_count":18,"referenced_works":["https://openalex.org/W1506153731","https://openalex.org/W1582715874","https://openalex.org/W1608575558","https://openalex.org/W1965288351","https://openalex.org/W2012233032","https://openalex.org/W2021706202","https://openalex.org/W2036313091","https://openalex.org/W2037119951","https://openalex.org/W2052893217","https://openalex.org/W2053598352","https://openalex.org/W2064829175","https://openalex.org/W2067158555","https://openalex.org/W2081073340","https://openalex.org/W2789835546","https://openalex.org/W4205658096","https://openalex.org/W4206110393","https://openalex.org/W4232108915","https://openalex.org/W4234724968"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644"],"ngrams_url":"https://api.openalex.org/works/W2014945531/ngrams","abstract_inverted_index":{"We":[0],"obtain":[1],"decay":[2],"rates":[3,169],"for":[4],"singular":[5],"values":[6],"and":[7,83,163,184],"eigenvalues":[8],"of":[9,80,93],"integral":[10,85],"operators":[11,86],"generated":[12,87],"by":[13,88,157],"square":[14],"integrable":[15],"kernels":[16],"on":[17,76,173],"the":[18,81,84,98,101,144,150,160,175,181,185],"unit":[19],"sphere":[20],"in":[21,97,109,159,166],"":[23,54,111,188],"":[32,120],"":[33,60,121,192],"":[34,122],"":[36,41,124,129],"R":[38,126],"":[39,45,67,127,133],"m":[42,62,130,193],"+":[43,131],"1":[44,132],"":[46,134],"\\mathbb":[48,136],"{R}^{m+1}":[49,137],"":[50,71,138,196],"":[51,72,139,197],",":[52,73],"alttext=\"m":[57],"greater-than-or-equal-to":[58],"2\">":[59],"":[61],"\u2265":[65],"2":[66],"encoding=\"application/x-tex\">m\\geq":[69],"2":[70],"under":[74],"assumptions":[75,102,145],"both,":[77,174],"certain":[78],"derivatives":[79],"kernel":[82],"such":[89],"derivatives.":[90],"This":[91],"type":[92],"problem":[94],"is":[95],"common":[96],"literature":[99],"but":[100],"are":[103,146,200],"usually":[104],"defined":[105,148],"using":[106],"standard":[107],"differentiation":[108],".":[140,198],"In":[141],"this":[142],"paper,":[143],"all":[147],"via":[149],"Laplace-Beltrami":[151],"derivative,":[152],"a":[153],"concept":[154],"first":[155],"investigated":[156],"Rudin":[158],"early":[161],"fifties":[162],"genuinely":[164],"spherical":[165],"nature.":[167],"The":[168],"we":[170],"present":[171],"depend":[172],"differentiability":[176],"order":[177],"used":[178],"to":[179,202],"define":[180],"smoothness":[182],"conditions":[183],"dimension":[186],"alttext=\"m\">":[191],"encoding=\"application/x-tex\">m":[195],"They":[199],"shown":[201],"be":[203],"optimal.":[204]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2014945531","counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2024-03-27T04:01:21.791603","created_date":"2016-06-24"}