{"id":"https://openalex.org/W2003756367","doi":"https://doi.org/10.1007/s11766-007-0212-7","title":"A distribution space for Fourier transform","display_name":"A distribution space for Fourier transform","publication_year":2007,"publication_date":"2007-06-01","ids":{"openalex":"https://openalex.org/W2003756367","doi":"https://doi.org/10.1007/s11766-007-0212-7","mag":"2003756367"},"language":"en","primary_location":{"id":"doi:10.1007/s11766-007-0212-7","doi":"https://doi.org/10.1007/s11766-007-0212-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11766-007-0212-7","pdf_url":null,"source":{"id":"https://openalex.org/S57607574","display_name":"Applied mathematics/Applied Mathematics. A Journal of Chinese Universities/Gao-xiao yingyong shuxue xuebao","issn_l":"1000-4424","issn":["1000-4424","1005-1031","1993-0445"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics-A Journal of Chinese Universities","raw_type":"journal-article"},"volume":null,"type":"article","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/A5027910289","display_name":"Chaoying Zhou","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chaoying Zhou","raw_affiliation_strings":["School of Mathematics and Computing Science, Sun Yat-sen University, Guangzhou, 510275, China","School of Mathematics and Computing Science, Sun Yat-sen University, Guangzhou, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing Science, Sun Yat-sen University, Guangzhou, 510275, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Mathematics and Computing Science, Sun Yat-sen University, Guangzhou, China#TAB#","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035555575","display_name":"Lihua Yang","orcid":"https://orcid.org/0000-0003-2570-076X","observed_orcids":["https://orcid.org/0000-0003-2570-076X"]},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lihua Yang","raw_affiliation_strings":["School of Mathematics and Computing Science, Sun Yat-sen University, Guangzhou, 510275, China","School of Mathematics and Computing Science, Sun Yat-sen University, Guangzhou, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing Science, Sun Yat-sen University, Guangzhou, 510275, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Mathematics and Computing Science, Sun Yat-sen University, Guangzhou, China#TAB#","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113597159","display_name":"Daren Huang","orcid":"https://orcid.org/0009-0006-1051-6088","observed_orcids":["https://orcid.org/0009-0006-1051-6088"]},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Daren Huang","raw_affiliation_strings":["School of Mathematics and Computing Science, Sun Yat-sen University, Guangzhou, 510275, China","School of Mathematics and Computing Science, Sun Yat-sen University, Guangzhou, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing Science, Sun Yat-sen University, Guangzhou, 510275, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Mathematics and Computing Science, Sun Yat-sen University, Guangzhou, China#TAB#","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10411333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"2","first_page":"229","last_page":"234"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.8920999765396118,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.8920999765396118,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.09470000118017197,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.004399999976158142,"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/fourier-transform","display_name":"Fourier transform","score":0.75},{"id":"https://openalex.org/keywords/distribution-spaces","display_name":"distribution spaces","score":0.7739999890327454},{"id":"https://openalex.org/keywords/schwartz-distributions","display_name":"Schwartz distributions","score":0.8840000033378601},{"id":"https://openalex.org/keywords/continuous-embeddings","display_name":"continuous embeddings","score":0.7870000004768372},{"id":"https://openalex.org/keywords/homeomorphism","display_name":"homeomorphism","score":0.8920000195503235},{"id":"https://openalex.org/keywords/characterization-of-spaces","display_name":"characterization of spaces","score":0.6050000190734863}],"concepts":[{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6950345039367676},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.6565019488334656},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.6258454918861389},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5895382165908813},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5115073919296265},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.4812478721141815},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4723607003688812},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.4282999634742737},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.42082178592681885},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.3786899745464325},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2123056948184967},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11766-007-0212-7","doi":"https://doi.org/10.1007/s11766-007-0212-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11766-007-0212-7","pdf_url":null,"source":{"id":"https://openalex.org/S57607574","display_name":"Applied mathematics/Applied Mathematics. A Journal of Chinese Universities/Gao-xiao yingyong shuxue xuebao","issn_l":"1000-4424","issn":["1000-4424","1005-1031","1993-0445"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics-A Journal of Chinese Universities","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1489213177","https://openalex.org/W1490039160","https://openalex.org/W1500590279","https://openalex.org/W1594563152","https://openalex.org/W1599038387","https://openalex.org/W1879125087","https://openalex.org/W2043266795","https://openalex.org/W2048406342","https://openalex.org/W2050447092","https://openalex.org/W2317724222","https://openalex.org/W2495387790","https://openalex.org/W2496227906","https://openalex.org/W4251022608"],"related_works":["https://openalex.org/W2065632335","https://openalex.org/W2353397954","https://openalex.org/W2118155316","https://openalex.org/W2143985734","https://openalex.org/W2382218334","https://openalex.org/W2090697566","https://openalex.org/W2254915314","https://openalex.org/W3025065882","https://openalex.org/W2360207186","https://openalex.org/W2154898175"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-09-26T08:19:03.415552","created_date":"2025-10-10T00:00:00"}
