{"id":"https://openalex.org/W4237153682","doi":"https://doi.org/10.1007/s00211-003-0491-8","title":"Multiresolution weighted norm equivalences and applications","display_name":"Multiresolution weighted norm equivalences and applications","publication_year":2004,"publication_date":"2004-04-08","ids":{"openalex":"https://openalex.org/W4237153682","doi":"https://doi.org/10.1007/s00211-003-0491-8"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-003-0491-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-003-0491-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/20.500.11850/49976","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047752883","display_name":"Sven Beuchler","orcid":"https://orcid.org/0000-0001-9411-8701"},"institutions":[{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"S. Beuchler","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Science, Linz, Austria","Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Science, Altenberger Strasse 69, 4040, Linz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Science, Linz, Austria","institution_ids":["https://openalex.org/I4210158379"]},{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Science, Altenberger Strasse 69, 4040, Linz, Austria","institution_ids":["https://openalex.org/I4210158379"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102878006","display_name":"Reinhold Schneider","orcid":"https://orcid.org/0000-0003-0529-7467"},"institutions":[{"id":"https://openalex.org/I32021983","display_name":"Christian-Albrechts-Universit\u00e4t zu Kiel","ror":"https://ror.org/04v76ef78","country_code":"DE","type":"education","lineage":["https://openalex.org/I32021983"]},{"id":"https://openalex.org/I4210164599","display_name":"Clinical Research Center Kiel","ror":"https://ror.org/05sw1mq09","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210164599"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"R. Schneider","raw_affiliation_strings":["Scientific Computing, Institute of Computer Science, Kiel, Germany","Scientific Computing, Institute of Computer Science, Christian Albrecht University Kiel, Christian-Albrechts-Platz 4, 24098, Kiel, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Scientific Computing, Institute of Computer Science, Kiel, Germany","institution_ids":["https://openalex.org/I4210164599"]},{"raw_affiliation_string":"Scientific Computing, Institute of Computer Science, Christian Albrecht University Kiel, Christian-Albrechts-Platz 4, 24098, Kiel, Germany","institution_ids":["https://openalex.org/I32021983"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039330337","display_name":"C. Schwab","orcid":"https://orcid.org/0000-0003-3330-7669"},"institutions":[{"id":"https://openalex.org/I2799323385","display_name":"Board of the Swiss Federal Institutes of Technology","ror":"https://ror.org/01rvn4p91","country_code":"CH","type":"government","lineage":["https://openalex.org/I2799323385"]},{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"C. Schwab","raw_affiliation_strings":["Seminar f\u00fcr Angewandte Mathematik, Eidgen\u00f6ssische Technische Hochschule, Z\u00fcrich, Switzerland","Seminar f\u00fcr Angewandte Mathematik, Eidgen\u00f6ssische Technische Hochschule, 8092, Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Seminar f\u00fcr Angewandte Mathematik, Eidgen\u00f6ssische Technische Hochschule, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"raw_affiliation_string":"Seminar f\u00fcr Angewandte Mathematik, Eidgen\u00f6ssische Technische Hochschule, 8092, Z\u00fcrich, Switzerland","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5039330337","https://openalex.org/A5047752883","https://openalex.org/A5102878006"],"corresponding_institution_ids":["https://openalex.org/I2799323385","https://openalex.org/I32021983","https://openalex.org/I35440088","https://openalex.org/I4210158379","https://openalex.org/I4210164599"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":4.4037,"has_fulltext":true,"cited_by_count":30,"citation_normalized_percentile":{"value":0.94925926,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"98","issue":"1","first_page":"67","last_page":"97"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9980000257492065,"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":0.9980000257492065,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.996999979019165,"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/T10514","display_name":"Numerical methods in engineering","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8587117195129395},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.751721978187561},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.7244449853897095},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6986652612686157},{"id":"https://openalex.org/keywords/biorthogonal-system","display_name":"Biorthogonal system","score":0.6612370610237122},{"id":"https://openalex.org/keywords/weight-function","display_name":"Weight function","score":0.5623685121536255},{"id":"https://openalex.org/keywords/biorthogonal-wavelet","display_name":"Biorthogonal wavelet","score":0.5326480865478516},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"Multiresolution analysis","score":0.5132582187652588},{"id":"https://openalex.org/keywords/function-space","display_name":"Function space","score":0.5116563439369202},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.48771628737449646},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3457593023777008},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.310443639755249},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.22457948327064514},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.18677562475204468},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08407199382781982}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8587117195129395},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.751721978187561},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.7244449853897095},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6986652612686157},{"id":"https://openalex.org/C158453530","wikidata":"https://www.wikidata.org/wiki/Q864692","display_name":"Biorthogonal system","level":4,"score":0.6612370610237122},{"id":"https://openalex.org/C134466208","wikidata":"https://www.wikidata.org/wiki/Q1520657","display_name":"Weight function","level":2,"score":0.5623685121536255},{"id":"https://openalex.org/C2778869661","wikidata":"https://www.wikidata.org/wiki/Q4915256","display_name":"Biorthogonal wavelet","level":5,"score":0.5326480865478516},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.5132582187652588},{"id":"https://openalex.org/C142730499","wikidata":"https://www.wikidata.org/wiki/Q934367","display_name":"Function space","level":2,"score":0.5116563439369202},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48771628737449646},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3457593023777008},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.310443639755249},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.22457948327064514},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.18677562475204468},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08407199382781982},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00211-003-0491-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-003-0491-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/49976","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/49976","pdf_url":"http://hdl.handle.net/20.500.11850/49976","source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerische Mathematik, 98 (1)","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.3929/ethz-b-000049976","is_oa":true,"landing_page_url":"https://doi.org/10.3929/ethz-b-000049976","pdf_url":null,"source":{"id":"https://openalex.org/S7407051236","display_name":"ETH Z\u00fcrich Research Collection","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/49976","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/49976","pdf_url":"http://hdl.handle.net/20.500.11850/49976","source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerische Mathematik, 98 (1)","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4237153682.pdf"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W205234061","https://openalex.org/W1539855477","https://openalex.org/W1980005758","https://openalex.org/W1990671420","https://openalex.org/W2003230588","https://openalex.org/W2015219711","https://openalex.org/W2021589053","https://openalex.org/W2045050233","https://openalex.org/W2062201198","https://openalex.org/W2063164826","https://openalex.org/W2064216226","https://openalex.org/W2070689862","https://openalex.org/W2115566547","https://openalex.org/W2137541800","https://openalex.org/W2491010324","https://openalex.org/W2911695249","https://openalex.org/W4231428347","https://openalex.org/W4242273588","https://openalex.org/W4255272544","https://openalex.org/W4292166829","https://openalex.org/W4302819252"],"related_works":["https://openalex.org/W2106250363","https://openalex.org/W2127433149","https://openalex.org/W2804200484","https://openalex.org/W2123651802","https://openalex.org/W199025143","https://openalex.org/W2090113569","https://openalex.org/W2136651366","https://openalex.org/W2373121303","https://openalex.org/W2377463317","https://openalex.org/W2163980049"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
