{"id":"https://openalex.org/W3000285285","doi":"https://doi.org/10.26456/vtpmk547","title":"The Abel summation of the inverse Fourier transform of the homogeneous functions in $R^n$","display_name":"The Abel summation of the inverse Fourier transform of the homogeneous functions in $R^n$","publication_year":2019,"publication_date":"2019-12-26","ids":{"openalex":"https://openalex.org/W3000285285","doi":"https://doi.org/10.26456/vtpmk547","mag":"3000285285"},"language":"en","primary_location":{"id":"doi:10.26456/vtpmk547","doi":"https://doi.org/10.26456/vtpmk547","is_oa":true,"landing_page_url":"https://doi.org/10.26456/vtpmk547","pdf_url":null,"source":{"id":"https://openalex.org/S4210229778","display_name":"Herald of Tver State University Series Applied Mathematics","issn_l":"1995-0136","issn":["1995-0136"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310312815","host_organization_name":"Tver State University","host_organization_lineage":["https://openalex.org/P4310312815"],"host_organization_lineage_names":["Tver State University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Herald of Tver State University. Series: Applied Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.26456/vtpmk547","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5136370575","display_name":"Sergey Viktorovich Arkhipov","orcid":"https://orcid.org/0009-0007-3531-4367","observed_orcids":["https://orcid.org/0009-0007-3531-4367"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sergey Viktorovich Arkhipov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5136370575"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4131,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.46958302,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":null,"issue":"4","first_page":"98","last_page":"107"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.4325999915599823,"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.4325999915599823,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.391400009393692,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.11180000007152557,"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/abel-summation","display_name":"Abel summation","score":0.9580000042915344},{"id":"https://openalex.org/keywords/inverse-fourier-transform","display_name":"inverse Fourier transform","score":0.968999981880188},{"id":"https://openalex.org/keywords/homogeneous-functions","display_name":"homogeneous functions","score":0.9980000257492065},{"id":"https://openalex.org/keywords/power-function","display_name":"power function","score":0.8069999814033508},{"id":"https://openalex.org/keywords/multidimensional-fourier-transform","display_name":"multidimensional Fourier transform","score":0.5759999752044678},{"id":"https://openalex.org/keywords/summability","display_name":"summability","score":0.6010000109672546}],"concepts":[{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.7174897789955139},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6763755083084106},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6498180031776428},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5360759496688843},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.43691766262054443},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43604904413223267},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09911584854125977},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09334790706634521}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.26456/vtpmk547","doi":"https://doi.org/10.26456/vtpmk547","is_oa":true,"landing_page_url":"https://doi.org/10.26456/vtpmk547","pdf_url":null,"source":{"id":"https://openalex.org/S4210229778","display_name":"Herald of Tver State University Series Applied Mathematics","issn_l":"1995-0136","issn":["1995-0136"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310312815","host_organization_name":"Tver State University","host_organization_lineage":["https://openalex.org/P4310312815"],"host_organization_lineage_names":["Tver State University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Herald of Tver State University. Series: Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:eprints.tversu.ru:9613","doi":null,"is_oa":true,"landing_page_url":"http://eprints.tversu.ru/9613/1/98-107.pdf","pdf_url":"http://eprints.tversu.ru/9613/1/98-107.pdf","source":{"id":"https://openalex.org/S4306401185","display_name":"Tver State University Repository (Tver State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2799967260","host_organization_name":"Tver State University","host_organization_lineage":["https://openalex.org/I2799967260"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"\u0421\u0442\u0430\u0442\u044c\u044f"}],"best_oa_location":{"id":"doi:10.26456/vtpmk547","doi":"https://doi.org/10.26456/vtpmk547","is_oa":true,"landing_page_url":"https://doi.org/10.26456/vtpmk547","pdf_url":null,"source":{"id":"https://openalex.org/S4210229778","display_name":"Herald of Tver State University Series Applied Mathematics","issn_l":"1995-0136","issn":["1995-0136"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310312815","host_organization_name":"Tver State University","host_organization_lineage":["https://openalex.org/P4310312815"],"host_organization_lineage_names":["Tver State University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Herald of Tver State University. Series: Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3000285285.pdf","grobid_xml":"https://content.openalex.org/works/W3000285285.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4289710923","https://openalex.org/W7053906032","https://openalex.org/W2035243734","https://openalex.org/W6979239250","https://openalex.org/W2069198661","https://openalex.org/W1996807140","https://openalex.org/W7113624918","https://openalex.org/W2067144366","https://openalex.org/W2050640344","https://openalex.org/W2032078853"],"abstract_inverted_index":{"\u041a\u0430\u043a":[0],"\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e,":[1],"\u043a":[2],"\u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435":[3],"\u0447\u0430\u0441\u0442\u043e":[4],"\u0443\u043f\u043e\u0442\u0440\u0435\u0431\u043b\u044f\u0435\u043c\u044b\u043c":[5],"\u0444\u0443\u043d\u043a\u0446\u0438\u044f\u043c":[6],"\u043d\u0430":[7],"\u043f\u0440\u044f\u043c\u043e\u0439":[8],"\u043e\u0442\u043d\u043e\u0441\u044f\u0442\u0441\u044f":[9],"\u0441\u0442\u0435\u043f\u0435\u043d\u043d\u044b\u0435":[10],"\u0444\u0443\u043d\u043a\u0446\u0438\u0438.":[11],"\u041c\u043d\u043e\u0433\u043e\u043c\u0435\u0440\u043d\u044b\u043c":[12],"\u0430\u043d\u0430\u043b\u043e\u0433\u043e\u043c":[13],"\u0441\u0442\u0435\u043f\u0435\u043d\u043d\u044b\u0445":[14],"\u0444\u0443\u043d\u043a\u0446\u0438\u0439":[15],"\u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f":[16],"\u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u044b\u0435,":[17],"\u0438\u043c\u0435\u044e\u0449\u0438\u0435":[18],"\u0432\u0438\u0434":[19]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2020-01-23T00:00:00"}