{"id":"https://openalex.org/W2960298171","doi":"https://doi.org/10.1142/s0219691319500553","title":"On scaling functions of non-uniform multiresolution analysis in L2(\u211d)","display_name":"On scaling functions of non-uniform multiresolution analysis in L2(\u211d)","publication_year":2019,"publication_date":"2019-07-09","ids":{"openalex":"https://openalex.org/W2960298171","doi":"https://doi.org/10.1142/s0219691319500553","mag":"2960298171"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691319500553","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691319500553","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/A5002669794","display_name":"Hari Krishan Malhotra","orcid":"https://orcid.org/0000-0003-0102-2685"},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Hari Krishan Malhotra","raw_affiliation_strings":["Department of Mathematics, University of Delhi, Delhi 110007, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Delhi, Delhi 110007, India","institution_ids":["https://openalex.org/I110166357"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088603055","display_name":"Lalit Kumar Vashisht","orcid":"https://orcid.org/0000-0002-8634-6920"},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Lalit Kumar Vashisht","raw_affiliation_strings":["Department of Mathematics, University of Delhi, Delhi 110007, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Delhi, Delhi 110007, India","institution_ids":["https://openalex.org/I110166357"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088603055"],"corresponding_institution_ids":["https://openalex.org/I110166357"],"apc_list":null,"apc_paid":null,"fwci":0.8165,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.77146323,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"18","issue":"02","first_page":"1950055","last_page":"1950055"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9998000264167786,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.8856860399246216},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"Multiresolution analysis","score":0.8690155744552612},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.7061282992362976},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5892582535743713},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4620780944824219},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.4397059977054596},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4316525161266327},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4166269600391388},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36071905493736267},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3229535222053528},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.29239422082901},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19946587085723877},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1320626139640808},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.12324973940849304},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09981241822242737},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.07242891192436218}],"concepts":[{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.8856860399246216},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.8690155744552612},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.7061282992362976},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5892582535743713},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4620780944824219},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.4397059977054596},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4316525161266327},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4166269600391388},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36071905493736267},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3229535222053528},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.29239422082901},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19946587085723877},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1320626139640808},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.12324973940849304},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09981241822242737},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.07242891192436218}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691319500553","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691319500553","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.550000011920929}],"awards":[{"id":"https://openalex.org/G774425768","display_name":null,"funder_award_id":"19/06/2016(i)EU-V","funder_id":"https://openalex.org/F4320320767","funder_display_name":"University Grants Commission"}],"funders":[{"id":"https://openalex.org/F4320320767","display_name":"University Grants Commission","ror":"https://ror.org/04p800546"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1617668177","https://openalex.org/W1646585205","https://openalex.org/W1980149518","https://openalex.org/W1993601315","https://openalex.org/W2009667565","https://openalex.org/W2012081515","https://openalex.org/W2013782475","https://openalex.org/W2046830589","https://openalex.org/W2058219536","https://openalex.org/W2125555749","https://openalex.org/W2160881571","https://openalex.org/W2781502722","https://openalex.org/W4242546747","https://openalex.org/W4249197173","https://openalex.org/W4249393990","https://openalex.org/W4255272544"],"related_works":["https://openalex.org/W2960298171","https://openalex.org/W2040760337","https://openalex.org/W4246648935","https://openalex.org/W2032074140","https://openalex.org/W2111953915","https://openalex.org/W1931213905","https://openalex.org/W1553824813","https://openalex.org/W2090879446","https://openalex.org/W1967111219","https://openalex.org/W2112294001"],"abstract_inverted_index":{"The":[0],"main":[1],"purpose":[2],"of":[3,11,29],"this":[4],"paper":[5],"is":[6],"to":[7],"provide":[8],"a":[9],"characterization":[10],"scaling":[12,27],"functions":[13,28],"for":[14,26],"non-uniform":[15],"multiresolution":[16],"analysis":[17],"(NUMRA,":[18],"in":[19,32],"short).":[20],"Some":[21],"necessary":[22],"and":[23],"sufficient":[24],"conditions":[25],"wavelet":[30],"NUMRA":[31],"the":[33],"frequency":[34],"domain":[35],"are":[36],"also":[37],"obtained.":[38]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2}],"updated_date":"2026-05-11T08:15:01.531666","created_date":"2025-10-10T00:00:00"}
