{"id":"https://openalex.org/W2964809379","doi":"https://doi.org/10.3906/mat-1901-113","title":"Basicity of a system of exponents with a piecewise linear phase in Morrey-typespaces","display_name":"Basicity of a system of exponents with a piecewise linear phase in Morrey-typespaces","publication_year":2019,"publication_date":"2019-07-29","ids":{"openalex":"https://openalex.org/W2964809379","doi":"https://doi.org/10.3906/mat-1901-113","mag":"2964809379"},"language":"en","primary_location":{"id":"doi:10.3906/mat-1901-113","doi":"https://doi.org/10.3906/mat-1901-113","is_oa":true,"landing_page_url":"https://doi.org/10.3906/mat-1901-113","pdf_url":"https://journals.tubitak.gov.tr/cgi/viewcontent.cgi?article=1443&context=math","source":{"id":"https://openalex.org/S145882832","display_name":"TURKISH JOURNAL OF MATHEMATICS","issn_l":"1300-0098","issn":["1300-0098","1303-6149"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-b","jufo-1","poland-40","russia-white-list-2","tr-dizin","vabb-shw"],"host_organization":"https://openalex.org/P4310318422","host_organization_name":"Scientific and Technological Research Council of Turkey (TUBITAK)","host_organization_lineage":["https://openalex.org/P4310318422"],"host_organization_lineage_names":["Scientific and Technological Research Council of Turkey (TUBITAK)"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"TURKISH JOURNAL OF MATHEMATICS","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://journals.tubitak.gov.tr/cgi/viewcontent.cgi?article=1443&context=math","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063782292","display_name":"Bilal T. Bilalov","orcid":"https://orcid.org/0000-0003-0750-9339","observed_orcids":["https://orcid.org/0000-0003-0750-9339"]},"institutions":[{"id":"https://openalex.org/I4210096574","display_name":"Institute of Mathematics and Mechanics","ror":"https://ror.org/00ab5b586","country_code":"AZ","type":"facility","lineage":["https://openalex.org/I126595936","https://openalex.org/I4210096574"]}],"countries":["AZ"],"is_corresponding":false,"raw_author_name":"Bilal BILALOV","raw_affiliation_strings":["Department of Non-Harmonic Analysis , Institute of Mathematics and Mechanics , NAS of Azerbaijan , Baku , Azerbaijan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Non-Harmonic Analysis , Institute of Mathematics and Mechanics , NAS of Azerbaijan , Baku , Azerbaijan","institution_ids":["https://openalex.org/I4210096574"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016389066","display_name":"Fidan Seyidova","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I49646691","display_name":"Ganja State University","ror":"https://ror.org/0451bvc41","country_code":"AZ","type":"education","lineage":["https://openalex.org/I49646691"]}],"countries":["AZ"],"is_corresponding":false,"raw_author_name":"Fidan SEYIDOVA","raw_affiliation_strings":["Ganja State University , Ganja , Azerbaijan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ganja State University , Ganja , Azerbaijan","institution_ids":["https://openalex.org/I49646691"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.3201,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.93522105,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"43","issue":"4","first_page":"1850","last_page":"1866"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9810000061988831,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9810000061988831,"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":0.004999999888241291,"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":"Advanced Harmonic Analysis Research","score":0.0035000001080334187,"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/completeness","display_name":"completeness","score":0.722000002861023},{"id":"https://openalex.org/keywords/minimality","display_name":"minimality","score":0.9649999737739563},{"id":"https://openalex.org/keywords/basis","display_name":"basis","score":0.4020000100135803},{"id":"https://openalex.org/keywords/sufficient-conditions","display_name":"sufficient conditions","score":0.7979999780654907}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8880443572998047},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6972709894180298},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6085951924324036},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5337406396865845},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5261737108230591},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4282280504703522},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.4196546971797943},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.41498705744743347},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3393107056617737},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12364959716796875},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06389960646629333},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.053525716066360474},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.030175387859344482},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3906/mat-1901-113","doi":"https://doi.org/10.3906/mat-1901-113","is_oa":true,"landing_page_url":"https://doi.org/10.3906/mat-1901-113","pdf_url":"https://journals.tubitak.gov.tr/cgi/viewcontent.cgi?article=1443&context=math","source":{"id":"https://openalex.org/S145882832","display_name":"TURKISH JOURNAL OF MATHEMATICS","issn_l":"1300-0098","issn":["1300-0098","1303-6149"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-b","jufo-1","poland-40","russia-white-list-2","tr-dizin","vabb-shw"],"host_organization":"https://openalex.org/P4310318422","host_organization_name":"Scientific and Technological Research Council of Turkey (TUBITAK)","host_organization_lineage":["https://openalex.org/P4310318422"],"host_organization_lineage_names":["Scientific and Technological Research Council of Turkey (TUBITAK)"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"TURKISH JOURNAL OF MATHEMATICS","raw_type":"journal-article"},{"id":"pmh:oai:dergipark.org.tr:article/662475","doi":null,"is_oa":false,"landing_page_url":"https://dergipark.org.tr/tr/pub/tbtkmath/issue/50817/662475","pdf_url":null,"source":{"id":"https://openalex.org/S4306401840","display_name":"DergiPark (Istanbul University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67581229","host_organization_name":"Istanbul University","host_organization_lineage":["https://openalex.org/I67581229"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"\\n Volume: 43, Issue: 4\\n 1850-1866\\n \\n","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.3906/mat-1901-113","doi":"https://doi.org/10.3906/mat-1901-113","is_oa":true,"landing_page_url":"https://doi.org/10.3906/mat-1901-113","pdf_url":"https://journals.tubitak.gov.tr/cgi/viewcontent.cgi?article=1443&context=math","source":{"id":"https://openalex.org/S145882832","display_name":"TURKISH JOURNAL OF MATHEMATICS","issn_l":"1300-0098","issn":["1300-0098","1303-6149"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-b","jufo-1","poland-40","russia-white-list-2","tr-dizin","vabb-shw"],"host_organization":"https://openalex.org/P4310318422","host_organization_name":"Scientific and Technological Research Council of Turkey (TUBITAK)","host_organization_lineage":["https://openalex.org/P4310318422"],"host_organization_lineage_names":["Scientific and Technological Research Council of Turkey (TUBITAK)"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"TURKISH JOURNAL OF MATHEMATICS","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2964809379.pdf","grobid_xml":"https://content.openalex.org/works/W2964809379.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3086376738","https://openalex.org/W2758016261","https://openalex.org/W4237571989","https://openalex.org/W2045427543","https://openalex.org/W2122709423","https://openalex.org/W2598103428","https://openalex.org/W2796319479","https://openalex.org/W6998868824","https://openalex.org/W2560593158","https://openalex.org/W6980167387"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"a":[3,9,41,44],"perturbed":[4],"system":[5,32],"of":[6,33],"exponents":[7,34],"with":[8],"piecewise":[10],"linear":[11],"phase":[12],"depending":[13],"on":[14],"two":[15],"real":[16],"parameters":[17,25],"is":[18,35],"considered.":[19],"The":[20],"sufficient":[21],"conditions":[22],"for":[23,43],"these":[24],"are":[26],"found,":[27],"under":[28],"which":[29],"the":[30],"considered":[31],"complete,":[36],"minimal,":[37],"or":[38],"it":[39],"forms":[40],"basis":[42],"Morrey-type":[45],"space.":[46]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3}],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2019-08-13T00:00:00"}
