{"id":"https://openalex.org/W2116262704","doi":"https://doi.org/10.1155/2013/748645","title":"Admissible Differential Bases in Banach Spaces","display_name":"Admissible Differential Bases in Banach Spaces","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2116262704","doi":"https://doi.org/10.1155/2013/748645","mag":"2116262704"},"language":"en","primary_location":{"id":"doi:10.1155/2013/748645","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/748645","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2013/748645.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2013/748645.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072814296","display_name":"Evgenii I. Berezhnoj","orcid":null},"institutions":[{"id":"https://openalex.org/I198371094","display_name":"Yaroslavl State University","ror":"https://ror.org/044s2fj67","country_code":"RU","type":"education","lineage":["https://openalex.org/I198371094"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Evgenii I. Berezhnoj","raw_affiliation_strings":["Yaroslavl State University, Sovetskaya Street 14, Yaroslavl 150000, Russia"],"affiliations":[{"raw_affiliation_string":"Yaroslavl State University, Sovetskaya Street 14, Yaroslavl 150000, Russia","institution_ids":["https://openalex.org/I198371094"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072814296"],"corresponding_institution_ids":["https://openalex.org/I198371094"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.3523,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.65390088,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9452999830245972,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9452999830245972,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9121999740600586,"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":0.9104999899864197,"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/mathematics","display_name":"Mathematics","score":0.9209714531898499},{"id":"https://openalex.org/keywords/lp-space","display_name":"Lp space","score":0.6857398748397827},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6231878995895386},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.6138287782669067},{"id":"https://openalex.org/keywords/interpolation-space","display_name":"Interpolation space","score":0.6118914484977722},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5625342130661011},{"id":"https://openalex.org/keywords/lorentz-transformation","display_name":"Lorentz transformation","score":0.5391426682472229},{"id":"https://openalex.org/keywords/lebesgue-integration","display_name":"Lebesgue integration","score":0.5385580658912659},{"id":"https://openalex.org/keywords/lorentz-space","display_name":"Lorentz space","score":0.4680962562561035},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4207232594490051},{"id":"https://openalex.org/keywords/topological-tensor-product","display_name":"Topological tensor product","score":0.41071683168411255},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36234143376350403},{"id":"https://openalex.org/keywords/functional-analysis","display_name":"Functional analysis","score":0.220786452293396}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9209714531898499},{"id":"https://openalex.org/C172294467","wikidata":"https://www.wikidata.org/wiki/Q305936","display_name":"Lp space","level":3,"score":0.6857398748397827},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6231878995895386},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6138287782669067},{"id":"https://openalex.org/C6183050","wikidata":"https://www.wikidata.org/wiki/Q3058180","display_name":"Interpolation space","level":4,"score":0.6118914484977722},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5625342130661011},{"id":"https://openalex.org/C5667645","wikidata":"https://www.wikidata.org/wiki/Q217255","display_name":"Lorentz transformation","level":2,"score":0.5391426682472229},{"id":"https://openalex.org/C14158598","wikidata":"https://www.wikidata.org/wiki/Q853831","display_name":"Lebesgue integration","level":2,"score":0.5385580658912659},{"id":"https://openalex.org/C2776551381","wikidata":"https://www.wikidata.org/wiki/Q6680542","display_name":"Lorentz space","level":3,"score":0.4680962562561035},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4207232594490051},{"id":"https://openalex.org/C178099376","wikidata":"https://www.wikidata.org/wiki/Q7825044","display_name":"Topological tensor product","level":4,"score":0.41071683168411255},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36234143376350403},{"id":"https://openalex.org/C55112680","wikidata":"https://www.wikidata.org/wiki/Q190549","display_name":"Functional analysis","level":3,"score":0.220786452293396},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2013/748645","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/748645","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2013/748645.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:748645","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2013/748645.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:ea66c6e9df134fd1b1abdb80660c531a","is_oa":true,"landing_page_url":"https://doaj.org/article/ea66c6e9df134fd1b1abdb80660c531a","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/748645","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/748645","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2013/748645.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2116262704.pdf","grobid_xml":"https://content.openalex.org/works/W2116262704.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W780684755","https://openalex.org/W786014585","https://openalex.org/W892819931","https://openalex.org/W929632149","https://openalex.org/W1035714684","https://openalex.org/W1517932056","https://openalex.org/W1522350690","https://openalex.org/W1734053220"],"related_works":["https://openalex.org/W2370388681","https://openalex.org/W2255708280","https://openalex.org/W2963322126","https://openalex.org/W2963190435","https://openalex.org/W30140727","https://openalex.org/W1998444659","https://openalex.org/W2312781566","https://openalex.org/W2964279985","https://openalex.org/W1961950596","https://openalex.org/W4297833341"],"abstract_inverted_index":{"In":[0],"the":[1,35,60],"present":[2],"work,":[3],"a":[4],"new":[5],"method":[6,18],"for":[7],"constructing":[8],"differential":[9],"bases":[10,14],"is":[11],"presented.":[12],"The":[13],"constructed":[15],"by":[16],"this":[17],"allow":[19,43],"us":[20,44],"to":[21,45],"distinguish":[22,46],"symmetric":[23],"spaces":[24,50,55],"with":[25],"different":[26],"behaviour":[27],"of":[28,37],"fundamental":[29,57],"functions":[30,58],"at":[31],"zero,":[32],"as":[33],"in":[34],"case":[36],"Hayes":[38],"and":[39,41,48,53],"Stokolos,":[40],"even":[42],"Lorentz":[47],"Marzinkiewicz":[49,54],"or":[51],"Lebesgue":[52],"whose":[56],"are":[59],"same.":[61]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}