{"id":"https://openalex.org/W7124455944","doi":"https://doi.org/10.3390/axioms15010063","title":"The Sneddon \u211b-Transform and Its Inverse over Lebesgue Spaces","display_name":"The Sneddon \u211b-Transform and Its Inverse over Lebesgue Spaces","publication_year":2026,"publication_date":"2026-01-16","ids":{"openalex":"https://openalex.org/W7124455944","doi":"https://doi.org/10.3390/axioms15010063"},"language":"en","primary_location":{"id":"doi:10.3390/axioms15010063","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms15010063","pdf_url":"https://www.mdpi.com/2075-1680/15/1/63/pdf?version=1768574117","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://www.mdpi.com/2075-1680/15/1/63/pdf?version=1768574117","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Hari Mohan Srivastava","orcid":"https://orcid.org/0000-0002-9277-8092"},"institutions":[{"id":"https://openalex.org/I129252642","display_name":"Uninett (Norway)","ror":"https://ror.org/03etn8e63","country_code":"NO","type":"company","lineage":["https://openalex.org/I129252642"]},{"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/I87490745","display_name":"Azerbaijan University","ror":"https://ror.org/00g1psz15","country_code":"AZ","type":"education","lineage":["https://openalex.org/I87490745"]}],"countries":["AZ","CA","KR","NO","TW"],"is_corresponding":false,"raw_author_name":"Hari Mohan 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, AZ1007 Baku, 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, 39 Corso Vittorio Emanuele II, 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, AZ1007 Baku, 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, 39 Corso Vittorio Emanuele II, I-00186 Rome, Italy","institution_ids":["https://openalex.org/I129252642"]}]},{"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":true,"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, Spain","Instituto de Matem\u00e1ticas y Aplicaciones (IMAULL), Universidad de La Laguna (ULL), ULL Campus de Anchieta, ES-38271 La Laguna, 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, 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, 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","https://openalex.org/A5048784073"],"corresponding_institution_ids":["https://openalex.org/I158438070","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":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11769185,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"1","first_page":"63","last_page":"63"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.3490999937057495,"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":0.3490999937057495,"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.2784999907016754,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.14429999887943268,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/banach-space","display_name":"Banach space","score":0.6026999950408936},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.510699987411499},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.49219998717308044},{"id":"https://openalex.org/keywords/lebesgue-integration","display_name":"Lebesgue integration","score":0.4821999967098236},{"id":"https://openalex.org/keywords/lp-space","display_name":"Lp space","score":0.4343999922275543},{"id":"https://openalex.org/keywords/trigonometric-polynomial","display_name":"Trigonometric polynomial","score":0.4140999913215637},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.40369999408721924},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.3587999939918518}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.871399998664856},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6026999950408936},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.510699987411499},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.49219998717308044},{"id":"https://openalex.org/C14158598","wikidata":"https://www.wikidata.org/wiki/Q853831","display_name":"Lebesgue integration","level":2,"score":0.4821999967098236},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44940000772476196},{"id":"https://openalex.org/C172294467","wikidata":"https://www.wikidata.org/wiki/Q305936","display_name":"Lp space","level":3,"score":0.4343999922275543},{"id":"https://openalex.org/C156760230","wikidata":"https://www.wikidata.org/wiki/Q1969650","display_name":"Trigonometric polynomial","level":3,"score":0.4140999913215637},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.40369999408721924},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.3587999939918518},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.3465999960899353},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.3424000144004822},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3246999979019165},{"id":"https://openalex.org/C38487692","wikidata":"https://www.wikidata.org/wiki/Q1067156","display_name":"Dominated convergence theorem","level":5,"score":0.3172999918460846},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31690001487731934},{"id":"https://openalex.org/C12871628","wikidata":"https://www.wikidata.org/wiki/Q7598372","display_name":"Standard probability space","level":2,"score":0.30570000410079956},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.3034000098705292},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.29490000009536743},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2718999981880188},{"id":"https://openalex.org/C76134657","wikidata":"https://www.wikidata.org/wiki/Q370634","display_name":"Generalized inverse","level":3,"score":0.2703000009059906},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.26100000739097595}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms15010063","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms15010063","pdf_url":"https://www.mdpi.com/2075-1680/15/1/63/pdf?version=1768574117","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:2c00aa5203c64dc1acf73ba42885e977","is_oa":true,"landing_page_url":"https://doaj.org/article/2c00aa5203c64dc1acf73ba42885e977","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 15, Iss 1, p 63 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms15010063","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms15010063","pdf_url":"https://www.mdpi.com/2075-1680/15/1/63/pdf?version=1768574117","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7124455944.pdf","grobid_xml":"https://content.openalex.org/works/W7124455944.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W2031747121","https://openalex.org/W2036625153","https://openalex.org/W2068154540","https://openalex.org/W2423600177","https://openalex.org/W2755453877","https://openalex.org/W2921369046","https://openalex.org/W4391291336","https://openalex.org/W4401176479"],"related_works":[],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,9,16,21,70,91],"Sneddon":[3],"R-transform":[4,22],"and":[5,30,36,53,72,86],"its":[6],"inverse":[7],"in":[8,41,62],"setting":[10],"of":[11],"Lebesgue":[12],"spaces.":[13],"Generated":[14],"by":[15],"mixed":[17],"trigonometric":[18],"kernel":[19],"xcos(xt)+hsin(xt),":[20],"acts":[23],"as":[24],"a":[25],"unifying":[26],"operator":[27],"for":[28,59,90],"sine-":[29],"cosine-type":[31],"integral":[32],"transforms.":[33],"Boundedness,":[34],"continuity,":[35],"weighted":[37],"Lp-estimates":[38],"are":[39,57],"established":[40],"an":[42],"appropriate":[43],"Banach":[44],"space":[45],"framework,":[46],"together":[47],"with":[48],"Parseval\u2013Goldstein":[49],"type":[50],"identities.":[51],"Initial":[52],"final":[54,87],"value":[55,88],"theorems":[56,89],"derived":[58],"generalized":[60],"functions":[61],"Zemanian-type":[63],"spaces,":[64],"yielding":[65],"precise":[66],"asymptotic":[67],"behaviour":[68],"at":[69,73],"origin":[71],"infinity.":[74],"A":[75],"finite-interval":[76],"theory":[77],"is":[78],"also":[79],"developed,":[80],"leading":[81],"to":[82],"polynomial":[83],"growth":[84],"estimates":[85],"finite":[92],"R-transform.":[93]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2026-01-17T00:00:00"}