{"id":"https://openalex.org/W2749906019","doi":"https://doi.org/10.1007/s11075-017-0394-x","title":"Remarkable Haar spaces of multivariate piecewise polynomials","display_name":"Remarkable Haar spaces of multivariate piecewise polynomials","publication_year":2017,"publication_date":"2017-08-14","ids":{"openalex":"https://openalex.org/W2749906019","doi":"https://doi.org/10.1007/s11075-017-0394-x","mag":"2749906019"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-017-0394-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-017-0394-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5027978895","display_name":"Giampietro Allasia","orcid":"https://orcid.org/0000-0002-6582-1825"},"institutions":[{"id":"https://openalex.org/I1330701686","display_name":"Collegio Carlo Alberto","ror":"https://ror.org/0397knh37","country_code":"IT","type":"education","lineage":["https://openalex.org/I1330701686"]},{"id":"https://openalex.org/I55143463","display_name":"University of Turin","ror":"https://ror.org/048tbm396","country_code":"IT","type":"education","lineage":["https://openalex.org/I55143463"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giampietro Allasia","raw_affiliation_strings":["Department of Mathematics \u201cG. Peano\u201d, University of Turin, via Carlo Alberto 10, 10123, Turin, Italy","Department of Mathematics \u201cG. Peano\u201d, University of Turin, Turin, Italy"],"raw_orcid":"https://orcid.org/0000-0002-6582-1825","affiliations":[{"raw_affiliation_string":"Department of Mathematics \u201cG. Peano\u201d, University of Turin, via Carlo Alberto 10, 10123, Turin, Italy","institution_ids":["https://openalex.org/I1330701686","https://openalex.org/I55143463"]},{"raw_affiliation_string":"Department of Mathematics \u201cG. Peano\u201d, University of Turin, Turin, Italy","institution_ids":["https://openalex.org/I55143463"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027978895"],"corresponding_institution_ids":["https://openalex.org/I1330701686","https://openalex.org/I55143463"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.11661956,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"78","issue":"2","first_page":"661","last_page":"672"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994000196456909,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9890999794006348,"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":0.9889000058174133,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8468002080917358},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7876859903335571},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5831873416900635},{"id":"https://openalex.org/keywords/box-spline","display_name":"Box spline","score":0.5541163682937622},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.544550895690918},{"id":"https://openalex.org/keywords/haar","display_name":"Haar","score":0.4662064015865326},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4457137882709503},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3749757707118988},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3227619528770447},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3214448094367981},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.28340262174606323},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.27703383564949036},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07539224624633789}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8468002080917358},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7876859903335571},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5831873416900635},{"id":"https://openalex.org/C78383375","wikidata":"https://www.wikidata.org/wiki/Q4951620","display_name":"Box spline","level":4,"score":0.5541163682937622},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.544550895690918},{"id":"https://openalex.org/C187029792","wikidata":"https://www.wikidata.org/wiki/Q2179112","display_name":"Haar","level":3,"score":0.4662064015865326},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4457137882709503},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3749757707118988},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3227619528770447},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3214448094367981},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.28340262174606323},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.27703383564949036},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07539224624633789},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-017-0394-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-017-0394-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W19451620","https://openalex.org/W613766469","https://openalex.org/W1486164486","https://openalex.org/W1597405158","https://openalex.org/W1987257525","https://openalex.org/W1991200719","https://openalex.org/W1991567646","https://openalex.org/W2019247511","https://openalex.org/W2038326982","https://openalex.org/W2038982234","https://openalex.org/W2043841621","https://openalex.org/W2048754633","https://openalex.org/W2064669740","https://openalex.org/W2072116332","https://openalex.org/W2086344467","https://openalex.org/W2088890902","https://openalex.org/W2090430963","https://openalex.org/W2154106338","https://openalex.org/W2168863204","https://openalex.org/W2341112121","https://openalex.org/W2481312347","https://openalex.org/W3175461480","https://openalex.org/W4230964139","https://openalex.org/W4251512373","https://openalex.org/W4254070027"],"related_works":["https://openalex.org/W1828158523","https://openalex.org/W2047547195","https://openalex.org/W204175656","https://openalex.org/W1992724775","https://openalex.org/W2476122714","https://openalex.org/W2257098514","https://openalex.org/W2092886441","https://openalex.org/W1029391197","https://openalex.org/W1989774823","https://openalex.org/W1996401622"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}