{"id":"https://openalex.org/W7212966243","doi":"https://doi.org/10.1016/j.jmaa.2026.131079","title":"Complete moment convergence for the discrete Fourier transform of random fields","display_name":"Complete moment convergence for the discrete Fourier transform of random fields","publication_year":2026,"publication_date":"2026-09-14","ids":{"openalex":"https://openalex.org/W7212966243","doi":"https://doi.org/10.1016/j.jmaa.2026.131079"},"language":"en","primary_location":{"id":"doi:10.1016/j.jmaa.2026.131079","doi":"https://doi.org/10.1016/j.jmaa.2026.131079","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jmaa.2026.131079","pdf_url":null,"source":{"id":"https://openalex.org/S151579836","display_name":"Journal of Mathematical Analysis and Applications","issn_l":"0022-247X","issn":["0022-247X","1096-0813"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Analysis and Applications","raw_type":"journal-article"},"volume":null,"type":"article","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/A5121753960","display_name":"Yi Wu","orcid":"https://orcid.org/0000-0003-2635-052X","observed_orcids":["https://orcid.org/0000-0003-2635-052X"]},"institutions":[{"id":"https://openalex.org/I4210089621","display_name":"Chizhou University","ror":"https://ror.org/007cx7r28","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210089621"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Wu","raw_affiliation_strings":["School of Big Data and Artificial Intelligence, Center of Applied Mathematics, Chizhou University, Chizhou, 247000, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Big Data and Artificial Intelligence, Center of Applied Mathematics, Chizhou University, Chizhou, 247000, PR China","institution_ids":["https://openalex.org/I4210089621"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5151625256","display_name":"Yan Wang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Wang","raw_affiliation_strings":["School of Big Data and Statistics, Anhui University, Hefei, 230601, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Big Data and Statistics, Anhui University, Hefei, 230601, PR China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110642672","display_name":"Mengmei Xi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mengmei Xi","raw_affiliation_strings":["School of Big Data and Statistics, Anhui University, Hefei, 230601, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Big Data and Statistics, Anhui University, Hefei, 230601, PR China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086368295","display_name":"Xuejun Wang","orcid":"https://orcid.org/0000-0002-3626-9584","observed_orcids":["https://orcid.org/0000-0002-3626-9584","https://orcid.org/0000-0002-4710-8065"]},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xuejun Wang","raw_affiliation_strings":["School of Big Data and Statistics, Anhui University, Hefei, 230601, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Big Data and Statistics, Anhui University, Hefei, 230601, PR China","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5086368295"],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"566","issue":"2","first_page":"131079","last_page":"131079"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.9315999746322632,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T13500","display_name":"Probability and Statistical Research","score":0.9315999746322632,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.028699999675154686,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.006300000008195639,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/complete-moment-convergence","display_name":"complete moment convergence","score":0.9990000128746033},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"discrete Fourier transform","score":0.9959999918937683},{"id":"https://openalex.org/keywords/random-fields","display_name":"random fields","score":0.9980000257492065},{"id":"https://openalex.org/keywords/moment-inequalities","display_name":"moment inequalities","score":0.9300000071525574},{"id":"https://openalex.org/keywords/sums-of-random-variables","display_name":"sums of random variables","score":0.5600000023841858}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8222000002861023},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.6743999719619751},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.6348999738693237},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6080999970436096},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5932999849319458},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5785999894142151},{"id":"https://openalex.org/C130402806","wikidata":"https://www.wikidata.org/wiki/Q5361768","display_name":"Random field","level":2,"score":0.5174000263214111},{"id":"https://openalex.org/C50826107","wikidata":"https://www.wikidata.org/wiki/Q5475803","display_name":"Fourier transform on finite groups","level":5,"score":0.51419997215271},{"id":"https://openalex.org/C122444316","wikidata":"https://www.wikidata.org/wiki/Q1440048","display_name":"Discrete-time Fourier transform","level":5,"score":0.5133000016212463},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.4426000118255615},{"id":"https://openalex.org/C62058723","wikidata":"https://www.wikidata.org/wiki/Q7049066","display_name":"Non-uniform discrete Fourier transform","level":5,"score":0.42910000681877136},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.38580000400543213},{"id":"https://openalex.org/C95763700","wikidata":"https://www.wikidata.org/wiki/Q578985","display_name":"Convergence of random variables","level":3,"score":0.3538999855518341},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3447999954223633},{"id":"https://openalex.org/C101796028","wikidata":"https://www.wikidata.org/wiki/Q535587","display_name":"Moment-generating function","level":3,"score":0.3336000144481659},{"id":"https://openalex.org/C175146775","wikidata":"https://www.wikidata.org/wiki/Q3984053","display_name":"Fourier inversion theorem","level":5,"score":0.3301999866962433},{"id":"https://openalex.org/C175225751","wikidata":"https://www.wikidata.org/wiki/Q15927242","display_name":"Discrete Fourier series","level":5,"score":0.32269999384880066},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3206000030040741},{"id":"https://openalex.org/C61062188","wikidata":"https://www.wikidata.org/wiki/Q835065","display_name":"Second moment of area","level":2,"score":0.3181000053882599},{"id":"https://openalex.org/C23548689","wikidata":"https://www.wikidata.org/wiki/Q5282049","display_name":"Discrete frequency domain","level":3,"score":0.3140000104904175},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.28279998898506165},{"id":"https://openalex.org/C4285052","wikidata":"https://www.wikidata.org/wiki/Q3406268","display_name":"Moment problem","level":3,"score":0.2655999958515167},{"id":"https://openalex.org/C89451469","wikidata":"https://www.wikidata.org/wiki/Q1443036","display_name":"Parseval's theorem","level":5,"score":0.2623000144958496},{"id":"https://openalex.org/C120229918","wikidata":"https://www.wikidata.org/wiki/Q1088747","display_name":"Central moment","level":4,"score":0.25459998846054077},{"id":"https://openalex.org/C167058841","wikidata":"https://www.wikidata.org/wiki/Q971039","display_name":"Discrete sine transform","level":5,"score":0.2540000081062317},{"id":"https://openalex.org/C90987359","wikidata":"https://www.wikidata.org/wiki/Q201605","display_name":"Moment magnitude scale","level":3,"score":0.2531999945640564}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jmaa.2026.131079","doi":"https://doi.org/10.1016/j.jmaa.2026.131079","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jmaa.2026.131079","pdf_url":null,"source":{"id":"https://openalex.org/S151579836","display_name":"Journal of Mathematical Analysis and Applications","issn_l":"0022-247X","issn":["0022-247X","1096-0813"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Analysis and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3716043190","display_name":null,"funder_award_id":"12471248","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4473612577","display_name":null,"funder_award_id":"12201600","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G9000358333","display_name":null,"funder_award_id":"2025AHGXZK40092","funder_id":"https://openalex.org/F4320326664","funder_display_name":"Anhui Provincial Department of Education"},{"id":"https://openalex.org/G9000358832","display_name":null,"funder_award_id":"CZ2024YJRC05","funder_id":"https://openalex.org/F4320329980","funder_display_name":"Chizhou University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320326664","display_name":"Anhui Provincial Department of Education","ror":null},{"id":"https://openalex.org/F4320329980","display_name":"Chizhou University","ror":"https://ror.org/007cx7r28"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W886550236","https://openalex.org/W1984107817","https://openalex.org/W2043137569","https://openalex.org/W2058400157","https://openalex.org/W2065219958","https://openalex.org/W2075057181","https://openalex.org/W2082152426","https://openalex.org/W2083410224","https://openalex.org/W2151454269","https://openalex.org/W2161380802","https://openalex.org/W2175031847","https://openalex.org/W2509228454","https://openalex.org/W2610700437","https://openalex.org/W2791189850","https://openalex.org/W2962894540","https://openalex.org/W3193634786","https://openalex.org/W4412031591"],"related_works":["https://openalex.org/W4412031591","https://openalex.org/W4404980571","https://openalex.org/W4307268248","https://openalex.org/W7160934606","https://openalex.org/W4281621413","https://openalex.org/W2962894540","https://openalex.org/W2962808798","https://openalex.org/W1545106670","https://openalex.org/W7213632076","https://openalex.org/W1965327633"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-10-25T09:29:13.331239","created_date":"2026-09-15T00:00:00"}
