{"id":"https://openalex.org/W1518101656","doi":"https://doi.org/10.1007/978-3-642-27579-1_37","title":"Remarks on Efficient Computation of the Inverse Fourier Transforms on Finite Non-Abelian Groups","display_name":"Remarks on Efficient Computation of the Inverse Fourier Transforms on Finite Non-Abelian Groups","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1518101656","doi":"https://doi.org/10.1007/978-3-642-27579-1_37","mag":"1518101656"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-27579-1_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-27579-1_37","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5108138421","display_name":"Radomir S. Stankovi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Radomir S. Stankovi\u0107","raw_affiliation_strings":["Dept. of Computer Science, Faculty of Electronics, Ni\u0161, Serbia"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, Faculty of Electronics, Ni\u0161, Serbia","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071299600","display_name":"Jaakko Astola","orcid":"https://orcid.org/0000-0002-2750-5311"},"institutions":[{"id":"https://openalex.org/I4210133110","display_name":"Tampere University","ror":null,"country_code":"FI","type":null,"lineage":["https://openalex.org/I4210133110"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Jaakko T. Astola","raw_affiliation_strings":["Dept. of Signal Processing, Tampere University of Technology, Tampere, Finland"],"affiliations":[{"raw_affiliation_string":"Dept. of Signal Processing, Tampere University of Technology, Tampere, Finland","institution_ids":["https://openalex.org/I4210133110"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103839952","display_name":"Claudio Moraga","orcid":null},"institutions":[{"id":"https://openalex.org/I4210118569","display_name":"European Centre for Soft Computing","ror":"https://ror.org/02b1fy379","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210118569"]},{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE","ES"],"is_corresponding":false,"raw_author_name":"Claudio Moraga","raw_affiliation_strings":["European Center for Soft Computing, 33600, Mieres, Spain","Technical University of Dortmund, 44221, Dortmund, Germany","European Center for Soft Computing, Mieres, Spain","Technical University of Dortmund, Dortmund, Germany"],"affiliations":[{"raw_affiliation_string":"European Center for Soft Computing, 33600, Mieres, Spain","institution_ids":["https://openalex.org/I4210118569"]},{"raw_affiliation_string":"Technical University of Dortmund, 44221, Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]},{"raw_affiliation_string":"European Center for Soft Computing, Mieres, Spain","institution_ids":["https://openalex.org/I4210118569"]},{"raw_affiliation_string":"Technical University of Dortmund, Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047244561","display_name":"Stanislav Stankovi\u0107","orcid":"https://orcid.org/0000-0002-4024-1437"},"institutions":[{"id":"https://openalex.org/I4210133110","display_name":"Tampere University","ror":null,"country_code":"FI","type":null,"lineage":["https://openalex.org/I4210133110"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Stanislav Stankovi\u0107","raw_affiliation_strings":["Dept. of Signal Processing, Tampere University of Technology, Tampere, Finland"],"affiliations":[{"raw_affiliation_string":"Dept. of Signal Processing, Tampere University of Technology, Tampere, Finland","institution_ids":["https://openalex.org/I4210133110"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5108138421"],"corresponding_institution_ids":["https://openalex.org/I152518017"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15028902,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"288","last_page":"295"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6423847079277039},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.6073204874992371},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5779990553855896},{"id":"https://openalex.org/keywords/fourier-transform-on-finite-groups","display_name":"Fourier transform on finite groups","score":0.5735396146774292},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5134828686714172},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5113134384155273},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48240840435028076},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.46119144558906555},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.4120880961418152},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4002856910228729},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.364478200674057},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3074839115142822},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.26636216044425964},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24720412492752075},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1631651520729065}],"concepts":[{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6423847079277039},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6073204874992371},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5779990553855896},{"id":"https://openalex.org/C50826107","wikidata":"https://www.wikidata.org/wiki/Q5475803","display_name":"Fourier transform on finite groups","level":5,"score":0.5735396146774292},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5134828686714172},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5113134384155273},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48240840435028076},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.46119144558906555},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.4120880961418152},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4002856910228729},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.364478200674057},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3074839115142822},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.26636216044425964},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24720412492752075},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1631651520729065},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-27579-1_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-27579-1_37","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W244011344","https://openalex.org/W627430284","https://openalex.org/W1494035541","https://openalex.org/W1550114059","https://openalex.org/W1930721306","https://openalex.org/W1964754311","https://openalex.org/W2056855740","https://openalex.org/W2121695129","https://openalex.org/W2130747899","https://openalex.org/W2170625450","https://openalex.org/W2500367141","https://openalex.org/W4243097225","https://openalex.org/W6629824396"],"related_works":["https://openalex.org/W4294147850","https://openalex.org/W2348706803","https://openalex.org/W3163325460","https://openalex.org/W2355167544","https://openalex.org/W2089664810","https://openalex.org/W2072202056","https://openalex.org/W2164231934","https://openalex.org/W2071822563","https://openalex.org/W4321259132","https://openalex.org/W1990220231"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
