{"id":"https://openalex.org/W4411235509","doi":"https://doi.org/10.3390/axioms14060462","title":"Analysis of Operators with Complex Gaussian Kernels over \u2130\u2032(\u211d): Abelian Theorems","display_name":"Analysis of Operators with Complex Gaussian Kernels over \u2130\u2032(\u211d): Abelian Theorems","publication_year":2025,"publication_date":"2025-06-12","ids":{"openalex":"https://openalex.org/W4411235509","doi":"https://doi.org/10.3390/axioms14060462"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14060462","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14060462","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms14060462","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079512627","display_name":"H. M. Srivastava","orcid":"https://orcid.org/0000-0002-9277-8092"},"institutions":[{"id":"https://openalex.org/I151221077","display_name":"Chung Yuan Christian University","ror":"https://ror.org/02w8ws377","country_code":"TW","type":"education","lineage":["https://openalex.org/I151221077"]},{"id":"https://openalex.org/I184693016","display_name":"China Medical University","ror":"https://ror.org/00v408z34","country_code":"TW","type":"education","lineage":["https://openalex.org/I184693016"]},{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]},{"id":"https://openalex.org/I35928602","display_name":"Kyung Hee University","ror":"https://ror.org/01zqcg218","country_code":"KR","type":"education","lineage":["https://openalex.org/I35928602"]},{"id":"https://openalex.org/I4210126829","display_name":"China Medical University Hospital","ror":"https://ror.org/0368s4g32","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I4210126829"]},{"id":"https://openalex.org/I4210155399","display_name":"UniNettuno University","ror":"https://ror.org/04q0nep37","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210155399"]},{"id":"https://openalex.org/I87490745","display_name":"Azerbaijan University","ror":"https://ror.org/00g1psz15","country_code":"AZ","type":"education","lineage":["https://openalex.org/I87490745"]}],"countries":["AZ","CA","IT","KR","TW"],"is_corresponding":false,"raw_author_name":"Hari M. Srivastava","raw_affiliation_strings":["Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea","Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, Taoyuan City 320314, Taiwan","Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, Baku AZ1007, Azerbaijan","Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada","Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan","Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy"],"raw_orcid":"https://orcid.org/0000-0002-9277-8092","affiliations":[{"raw_affiliation_string":"Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea","institution_ids":["https://openalex.org/I35928602"]},{"raw_affiliation_string":"Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, Taoyuan City 320314, Taiwan","institution_ids":["https://openalex.org/I151221077"]},{"raw_affiliation_string":"Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, Baku AZ1007, Azerbaijan","institution_ids":["https://openalex.org/I87490745"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada","institution_ids":["https://openalex.org/I212119943"]},{"raw_affiliation_string":"Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan","institution_ids":["https://openalex.org/I4210126829","https://openalex.org/I184693016"]},{"raw_affiliation_string":"Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy","institution_ids":["https://openalex.org/I4210155399"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048784073","display_name":"E. R. Negr\u00edn","orcid":"https://orcid.org/0000-0002-5506-5050"},"institutions":[{"id":"https://openalex.org/I158438070","display_name":"Universidad de La Laguna","ror":"https://ror.org/01r9z8p25","country_code":"ES","type":"education","lineage":["https://openalex.org/I158438070"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Emilio R. Negr\u00edn","raw_affiliation_strings":["Departamento de An\u00e1lisis Matem\u00e1tico, Facultad de Ciencias, Universidad de La Laguna (ULL), Campus de Anchieta, ES-38271 La Laguna, Tenerife, Spain","Instituto de Matem\u00e1ticas y Aplicaciones (IMAULL), Universidad de La Laguna (ULL), ULL Campus de Anchieta, ES-38271 La Laguna, Tenerife, Spain"],"raw_orcid":"https://orcid.org/0000-0002-5506-5050","affiliations":[{"raw_affiliation_string":"Departamento de An\u00e1lisis Matem\u00e1tico, Facultad de Ciencias, Universidad de La Laguna (ULL), Campus de Anchieta, ES-38271 La Laguna, Tenerife, Spain","institution_ids":["https://openalex.org/I158438070"]},{"raw_affiliation_string":"Instituto de Matem\u00e1ticas y Aplicaciones (IMAULL), Universidad de La Laguna (ULL), ULL Campus de Anchieta, ES-38271 La Laguna, Tenerife, Spain","institution_ids":["https://openalex.org/I158438070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041297268","display_name":"Jeetendrasingh Maan","orcid":"https://orcid.org/0000-0001-6569-8540"},"institutions":[{"id":"https://openalex.org/I36909309","display_name":"National Institute of Technology Hamirpur","ror":"https://ror.org/01nc8zs04","country_code":"IN","type":"education","lineage":["https://openalex.org/I36909309","https://openalex.org/I4210152752"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Jeetendrasingh Maan","raw_affiliation_strings":["Department of Mathematics and Scientific Computing, National Institute of Technology, Hamirpur 177005, India"],"raw_orcid":"https://orcid.org/0000-0001-6569-8540","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Scientific Computing, National Institute of Technology, Hamirpur 177005, India","institution_ids":["https://openalex.org/I36909309"]}]}],"institutions":[],"countries_distinct_count":7,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041297268"],"corresponding_institution_ids":["https://openalex.org/I36909309"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18654291,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"6","first_page":"462","last_page":"462"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9955000281333923,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/abelian-group","display_name":"Abelian group","score":0.6999965310096741},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6064449548721313},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5300823450088501},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.47832512855529785},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38336217403411865},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19921958446502686},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09061813354492188}],"concepts":[{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6999965310096741},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6064449548721313},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5300823450088501},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.47832512855529785},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38336217403411865},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19921958446502686},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09061813354492188}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14060462","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14060462","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8e357877f10f4b74b7b269359f707119","is_oa":true,"landing_page_url":"https://doaj.org/article/8e357877f10f4b74b7b269359f707119","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 6, p 462 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14060462","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14060462","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W943980574","https://openalex.org/W1966296504","https://openalex.org/W1984285783","https://openalex.org/W1994534580","https://openalex.org/W2030262316","https://openalex.org/W2039758342","https://openalex.org/W2049887038","https://openalex.org/W2065695638","https://openalex.org/W2068154540","https://openalex.org/W2069518104","https://openalex.org/W2134694367","https://openalex.org/W2479221532","https://openalex.org/W2551059873","https://openalex.org/W2567165719","https://openalex.org/W2910689724","https://openalex.org/W2921369046","https://openalex.org/W2963282353","https://openalex.org/W3007244833","https://openalex.org/W4237757438","https://openalex.org/W4243252504","https://openalex.org/W4289171538","https://openalex.org/W4380633181","https://openalex.org/W4399249602","https://openalex.org/W4404320322","https://openalex.org/W6666934876","https://openalex.org/W6998323463","https://openalex.org/W7001140049"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"Abelian":[3],"theorems":[4],"for":[5],"operators":[6],"with":[7],"complex":[8],"Gaussian":[9],"kernels":[10],"over":[11],"distributions":[12],"of":[13,22,40],"compact":[14],"support.":[15],"Furthermore,":[16],"our":[17,41],"investigation":[18],"encompasses":[19],"an":[20],"examination":[21],"the":[23,26,31,38],"Gauss\u2013Weierstrass":[24],"semigroup,":[25],"linear":[27],"canonical":[28],"transform,":[29],"and":[30],"Ornstein\u2013Uhlenbeck":[32],"semigroup":[33],"as":[34],"particular":[35],"cases":[36],"within":[37],"scope":[39],"study.":[42]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}