{"id":"https://openalex.org/W2091095223","doi":"https://doi.org/10.1016/s0019-9958(82)90806-3","title":"Dyadic calculus and sampling theorems for functions with multidimensional domain I. General theory","display_name":"Dyadic calculus and sampling theorems for functions with multidimensional domain I. General theory","publication_year":1982,"publication_date":"1982-03-01","ids":{"openalex":"https://openalex.org/W2091095223","doi":"https://doi.org/10.1016/s0019-9958(82)90806-3","mag":"2091095223"},"language":"en","primary_location":{"id":"doi:10.1016/s0019-9958(82)90806-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0019-9958(82)90806-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210192454","display_name":"Information and Control","issn_l":"0019-9958","issn":["0019-9958","1878-2981"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319955","host_organization_name":"Academic Press","host_organization_lineage":["https://openalex.org/P4310319955","https://openalex.org/P4310320990"],"host_organization_lineage_names":["Academic Press","Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information and Control","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/A5089022492","display_name":"P. L. Butzer","orcid":null},"institutions":[{"id":"https://openalex.org/I99977706","display_name":"FH Aachen","ror":"https://ror.org/04tqgg260","country_code":"DE","type":"education","lineage":["https://openalex.org/I99977706"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"P.L. Butzer","raw_affiliation_strings":["Lehrstuhl A f\u00fcr Mathematik, Aachen University of Technology, 51 Aachen, West Germany","Lehrstuhl A f\u00fcr Mathematik Aachen University of Technology, 51 Aachen, West Germany"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl A f\u00fcr Mathematik, Aachen University of Technology, 51 Aachen, West Germany","institution_ids":["https://openalex.org/I99977706"]},{"raw_affiliation_string":"Lehrstuhl A f\u00fcr Mathematik Aachen University of Technology, 51 Aachen, West Germany","institution_ids":["https://openalex.org/I99977706"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066057306","display_name":"W. Engels","orcid":null},"institutions":[{"id":"https://openalex.org/I99977706","display_name":"FH Aachen","ror":"https://ror.org/04tqgg260","country_code":"DE","type":"education","lineage":["https://openalex.org/I99977706"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"W. Engels","raw_affiliation_strings":["Lehrstuhl A f\u00fcr Mathematik, Aachen University of Technology, 51 Aachen, West Germany","Lehrstuhl A f\u00fcr Mathematik Aachen University of Technology, 51 Aachen, West Germany"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl A f\u00fcr Mathematik, Aachen University of Technology, 51 Aachen, West Germany","institution_ids":["https://openalex.org/I99977706"]},{"raw_affiliation_string":"Lehrstuhl A f\u00fcr Mathematik Aachen University of Technology, 51 Aachen, West Germany","institution_ids":["https://openalex.org/I99977706"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089022492"],"corresponding_institution_ids":["https://openalex.org/I99977706"],"apc_list":null,"apc_paid":null,"fwci":1.2488,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.79675425,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"52","issue":"3","first_page":"333","last_page":"351"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9108999967575073,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9108999967575073,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/smoothness","display_name":"Smoothness","score":0.6699106097221375},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5813947916030884},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5764515995979309},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5113312602043152},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.49788618087768555},{"id":"https://openalex.org/keywords/walsh-function","display_name":"Walsh function","score":0.46762925386428833},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4634634554386139},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.4361395537853241},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4086410701274872},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3500823974609375},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3414697051048279},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2438829243183136}],"concepts":[{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6699106097221375},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5813947916030884},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5764515995979309},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5113312602043152},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.49788618087768555},{"id":"https://openalex.org/C164319782","wikidata":"https://www.wikidata.org/wiki/Q1934233","display_name":"Walsh function","level":2,"score":0.46762925386428833},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4634634554386139},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.4361395537853241},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4086410701274872},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3500823974609375},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3414697051048279},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2438829243183136},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0019-9958(82)90806-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0019-9958(82)90806-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210192454","display_name":"Information and Control","issn_l":"0019-9958","issn":["0019-9958","1878-2981"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319955","host_organization_name":"Academic Press","host_organization_lineage":["https://openalex.org/P4310319955","https://openalex.org/P4310320990"],"host_organization_lineage_names":["Academic Press","Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information and Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W619518537","https://openalex.org/W649271951","https://openalex.org/W987067036","https://openalex.org/W1506013563","https://openalex.org/W1508936657","https://openalex.org/W1559640158","https://openalex.org/W1582769460","https://openalex.org/W1587863748","https://openalex.org/W1978309996","https://openalex.org/W2008978831","https://openalex.org/W2010014700","https://openalex.org/W2022399586","https://openalex.org/W2057977953","https://openalex.org/W2069439968","https://openalex.org/W2078190375","https://openalex.org/W2112147403","https://openalex.org/W2490520044","https://openalex.org/W2500933509","https://openalex.org/W2603019565","https://openalex.org/W2921707763","https://openalex.org/W3096692202","https://openalex.org/W3120858916","https://openalex.org/W4212876075","https://openalex.org/W6625773699","https://openalex.org/W6652588260","https://openalex.org/W6723044773","https://openalex.org/W6874668019"],"related_works":["https://openalex.org/W2112641952","https://openalex.org/W2092311672","https://openalex.org/W2053369283","https://openalex.org/W1984031140","https://openalex.org/W2034082304","https://openalex.org/W81470468","https://openalex.org/W1964268922","https://openalex.org/W1968864649","https://openalex.org/W2066908446","https://openalex.org/W2768366820"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}