{"id":"https://openalex.org/W4319080980","doi":"https://doi.org/10.1142/s021969132350008x","title":"Existence of unconditional wavelet bases for Lp-norm over a local fields of positive characteristic","display_name":"Existence of unconditional wavelet bases for Lp-norm over a local fields of positive characteristic","publication_year":2023,"publication_date":"2023-02-03","ids":{"openalex":"https://openalex.org/W4319080980","doi":"https://doi.org/10.1142/s021969132350008x"},"language":"en","primary_location":{"id":"doi:10.1142/s021969132350008x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021969132350008x","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"},"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/A5085092074","display_name":"Ashish K. Pathak","orcid":"https://orcid.org/0000-0003-0143-7979"},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Ashish Pathak","raw_affiliation_strings":["Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India"],"raw_orcid":"https://orcid.org/0000-0003-0143-7979","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India","institution_ids":["https://openalex.org/I91357014"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100537466","display_name":"Dileep Kumar","orcid":"https://orcid.org/0000-0003-3890-1325"},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Dileep Kumar","raw_affiliation_strings":["Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India","institution_ids":["https://openalex.org/I91357014"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085092074"],"corresponding_institution_ids":["https://openalex.org/I91357014"],"apc_list":null,"apc_paid":null,"fwci":1.0246,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.68149205,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"21","issue":"05","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9987000226974487,"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":0.9987000226974487,"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":0.9987000226974487,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.831728458404541},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7477530241012573},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.7122509479522705},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6099389791488647},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5388453006744385},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4588298499584198},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4132079780101776},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3467704653739929},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08449968695640564},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0787932276725769},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06534960865974426},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.04471573233604431}],"concepts":[{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.831728458404541},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7477530241012573},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.7122509479522705},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6099389791488647},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5388453006744385},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4588298499584198},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4132079780101776},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3467704653739929},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08449968695640564},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0787932276725769},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06534960865974426},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.04471573233604431},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021969132350008x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021969132350008x","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5199999809265137}],"awards":[{"id":"https://openalex.org/G3546251288","display_name":null,"funder_award_id":"grant no: 16-6(DEC.2017)2018(NET/CSIR)","funder_id":"https://openalex.org/F4320335491","funder_display_name":"UGC-DAE\u00a0Consortium for Scientific Research, University Grants Commission"}],"funders":[{"id":"https://openalex.org/F4320335491","display_name":"UGC-DAE\u00a0Consortium for Scientific Research, University Grants Commission","ror":"https://ror.org/047g7f905"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1971626639","https://openalex.org/W1992691432","https://openalex.org/W2090654970","https://openalex.org/W2092911074","https://openalex.org/W2094189485","https://openalex.org/W2111851797","https://openalex.org/W4255272544"],"related_works":["https://openalex.org/W2370850565","https://openalex.org/W2168986779","https://openalex.org/W86689133","https://openalex.org/W1975945902","https://openalex.org/W2053163725","https://openalex.org/W2392110000","https://openalex.org/W4296643228","https://openalex.org/W1508132973","https://openalex.org/W2383575531","https://openalex.org/W1568756917"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,55],"defined":[4],"Calder[Formula:":[5],"see":[6,10,14,20,27,37,45,53,62],"text]n\u2013Zygmund":[7],"operator":[8,35],"[Formula:":[9,13,26,36,44,52,61],"text]":[11,15,28,46],"as":[12],"on":[16,25,41],"local":[17,66],"fields":[18,67],"([Formula:":[19],"text])":[21],"under":[22],"certain":[23],"conditions":[24],"and":[29,47],"then":[30],"find":[31],"the":[32,72],"boundedness":[33,42],"of":[34,43,51,68],"text].":[38],"Using":[39],"result":[40],"orthonormal":[48],"wavelet":[49,58,73],"basis":[50],"text],":[54],"provide":[56],"unconditional":[57],"bases":[59],"for":[60],"text]-norm":[63],"over":[64],"a":[65],"positive":[69],"characteristic":[70],"by":[71],"coefficients.":[74]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
