{"id":"https://openalex.org/W2594731410","doi":"https://doi.org/10.1142/s0219691317500242","title":"Discrete orthogonality of the analytic wavelets in the Hardy space of the upper half plane","display_name":"Discrete orthogonality of the analytic wavelets in the Hardy space of the upper half plane","publication_year":2017,"publication_date":"2017-03-07","ids":{"openalex":"https://openalex.org/W2594731410","doi":"https://doi.org/10.1142/s0219691317500242","mag":"2594731410"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691317500242","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691317500242","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/A5044935218","display_name":"T\u00edmea Eisner","orcid":null},"institutions":[{"id":"https://openalex.org/I79741316","display_name":"University of Pecs","ror":"https://ror.org/037b5pv06","country_code":"HU","type":"education","lineage":["https://openalex.org/I79741316"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"T\u00edmea Eisner","raw_affiliation_strings":["University of P\u00e9cs, Ifj\u00fas\u00e1g \u00fatja 6, 7624 P\u00e9cs, Hungary"],"affiliations":[{"raw_affiliation_string":"University of P\u00e9cs, Ifj\u00fas\u00e1g \u00fatja 6, 7624 P\u00e9cs, Hungary","institution_ids":["https://openalex.org/I79741316"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041684543","display_name":"Margit Pap","orcid":null},"institutions":[{"id":"https://openalex.org/I79741316","display_name":"University of Pecs","ror":"https://ror.org/037b5pv06","country_code":"HU","type":"education","lineage":["https://openalex.org/I79741316"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Margit Pap","raw_affiliation_strings":["University of P\u00e9cs, Ifj\u00fas\u00e1g \u00fatja 6, 7624 P\u00e9cs, Hungary"],"affiliations":[{"raw_affiliation_string":"University of P\u00e9cs, Ifj\u00fas\u00e1g \u00fatja 6, 7624 P\u00e9cs, Hungary","institution_ids":["https://openalex.org/I79741316"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044935218"],"corresponding_institution_ids":["https://openalex.org/I79741316"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0535348,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"15","issue":"03","first_page":"1750024","last_page":"1750024"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9998999834060669,"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":0.9998999834060669,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9984999895095825,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9883999824523926,"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/orthogonality","display_name":"Orthogonality","score":0.905419111251831},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.768479585647583},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6375759243965149},{"id":"https://openalex.org/keywords/hardy-space","display_name":"Hardy space","score":0.5301464796066284},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"Multiresolution analysis","score":0.5006892681121826},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4966958165168762},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.49364790320396423},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4911453425884247},{"id":"https://openalex.org/keywords/complex-plane","display_name":"Complex plane","score":0.4902210831642151},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4792461395263672},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4692169427871704},{"id":"https://openalex.org/keywords/analytic-function","display_name":"Analytic function","score":0.42759066820144653},{"id":"https://openalex.org/keywords/upper-half-plane","display_name":"Upper half-plane","score":0.41267114877700806},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.31718355417251587},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.22629788517951965},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1708168387413025},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1576627492904663},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07611057162284851}],"concepts":[{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.905419111251831},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.768479585647583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6375759243965149},{"id":"https://openalex.org/C42178598","wikidata":"https://www.wikidata.org/wiki/Q1585233","display_name":"Hardy space","level":2,"score":0.5301464796066284},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.5006892681121826},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4966958165168762},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.49364790320396423},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4911453425884247},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.4902210831642151},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4792461395263672},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4692169427871704},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.42759066820144653},{"id":"https://openalex.org/C166454054","wikidata":"https://www.wikidata.org/wiki/Q3258885","display_name":"Upper half-plane","level":2,"score":0.41267114877700806},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.31718355417251587},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.22629788517951965},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1708168387413025},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1576627492904663},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07611057162284851},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691317500242","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691317500242","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W128586474","https://openalex.org/W142358458","https://openalex.org/W169583905","https://openalex.org/W192169239","https://openalex.org/W289591142","https://openalex.org/W1751996184","https://openalex.org/W2003735624","https://openalex.org/W2011965191","https://openalex.org/W2014757225","https://openalex.org/W2077244187","https://openalex.org/W2098914003","https://openalex.org/W2106218591","https://openalex.org/W2126777570","https://openalex.org/W2132984323","https://openalex.org/W4242546747","https://openalex.org/W4246726188","https://openalex.org/W4255272544"],"related_works":["https://openalex.org/W4299522098","https://openalex.org/W2749095681","https://openalex.org/W3013306024","https://openalex.org/W2298619543","https://openalex.org/W2330349541","https://openalex.org/W2109641974","https://openalex.org/W2325603424","https://openalex.org/W2668984141","https://openalex.org/W2007471043","https://openalex.org/W2367628899"],"abstract_inverted_index":{"We":[0,50],"will":[1,51],"prove":[2],"that":[3],"the":[4,21,25,53,57,60,65],"analytic":[5],"orthogonal":[6,48],"wavelet-system,":[7],"which":[8],"was":[9],"introduced":[10,66],"by":[11],"Feichtinger":[12],"and":[13,18,32,56],"Pap":[14],"in":[15,20,29],"[Hyperbolic":[16],"wavelets":[17],"multiresolution":[19],"Hardy":[22],"space":[23],"of":[24,59,64],"upper":[26],"half":[27],"plane,":[28],"Blaschke":[30],"Products":[31],"Their":[33],"Applications:":[34],"Fields":[35],"Institute":[36],"Communications,":[37],"Vol.":[38],"65":[39],"(Springer,":[40],"New":[41],"York,":[42],"2013),":[43],"pp.":[44],"193\u2013208]":[45],"is":[46],"discrete":[47,54],"too.":[49],"discuss":[52],"orthogonality":[55],"properties":[58],"reproducing":[61],"kernel":[62],"functions":[63],"wavelet-spaces.":[67]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}