{"id":"https://openalex.org/W2467142200","doi":null,"title":"Generalization of Titchmarsh's Theorem for the Dunkl Transform","display_name":"Generalization of Titchmarsh's Theorem for the Dunkl Transform","publication_year":2016,"publication_date":"2016-12-29","ids":{"openalex":"https://openalex.org/W2467142200","mag":"2467142200"},"language":"en","primary_location":{"id":"mag:2467142200","doi":null,"is_oa":true,"landing_page_url":"http://journals.iau.ir/article_527655_655da811be873f72c62568a902f95d08.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764499034","display_name":"International journal of mathematical modelling and computations","issn_l":"2228-6225","issn":["2228-6225"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4310319109","host_organization_name":"Islamic Azad University","host_organization_lineage":["https://openalex.org/P4310319109"],"host_organization_lineage_names":["Islamic Azad University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International journal of mathematical modelling and computations","raw_type":null},"parent_works":[],"lineage":["https://openalex.org/W2467142200"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://journals.iau.ir/article_527655_655da811be873f72c62568a902f95d08.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062081603","display_name":"Salah El Ouadih","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. El Ouadih","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5085477235","display_name":"Radouan Daher","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Radouan Daher","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"6","issue":"4","first_page":"261","last_page":"267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9872999787330627,"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":0.9872999787330627,"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":0.009100000374019146,"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":0.0012000000569969416,"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/titchmarsh-s-theorem","display_name":"Titchmarsh's theorem","score":0.9390000104904175},{"id":"https://openalex.org/keywords/dunkl-transform","display_name":"Dunkl transform","score":0.9980000257492065},{"id":"https://openalex.org/keywords/weighted-lp-spaces","display_name":"weighted Lp spaces","score":0.7089999914169312},{"id":"https://openalex.org/keywords/reflective-practice-groups","display_name":"reflection groups","score":0.925000011920929},{"id":"https://openalex.org/keywords/weight-functions","display_name":"weight functions","score":0.46399998664855957}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8393932580947876},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7427135705947876},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7360509634017944},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6144787073135376},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5734364986419678},{"id":"https://openalex.org/C134466208","wikidata":"https://www.wikidata.org/wiki/Q1520657","display_name":"Weight function","level":2,"score":0.48899829387664795},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.44961613416671753},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3699701428413391},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.08400163054466248},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2467142200","doi":null,"is_oa":true,"landing_page_url":"http://journals.iau.ir/article_527655_655da811be873f72c62568a902f95d08.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764499034","display_name":"International journal of mathematical modelling and computations","issn_l":"2228-6225","issn":["2228-6225"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4310319109","host_organization_name":"Islamic Azad University","host_organization_lineage":["https://openalex.org/P4310319109"],"host_organization_lineage_names":["Islamic Azad University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International journal of mathematical modelling and computations","raw_type":null}],"best_oa_location":{"id":"mag:2467142200","doi":null,"is_oa":true,"landing_page_url":"http://journals.iau.ir/article_527655_655da811be873f72c62568a902f95d08.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764499034","display_name":"International journal of mathematical modelling and computations","issn_l":"2228-6225","issn":["2228-6225"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4310319109","host_organization_name":"Islamic Azad University","host_organization_lineage":["https://openalex.org/P4310319109"],"host_organization_lineage_names":["Islamic Azad University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International journal of mathematical modelling and computations","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2147085507","https://openalex.org/W2972115752","https://openalex.org/W1984771891","https://openalex.org/W7097912674","https://openalex.org/W2612382740","https://openalex.org/W1763694799","https://openalex.org/W7056712253","https://openalex.org/W4385733559","https://openalex.org/W2604366872"],"abstract_inverted_index":{"Using":[0],"a":[1,8,37],"generalized":[2],"spherical":[3],"mean":[4],"operator,":[5],"we":[6],"obtain":[7],"generalization":[9],"of":[10,44],"Titchmarsh's":[11],"theorem":[12],"for":[13,17],"the":[14,20,26,42],"Dunkl":[15],"transform":[16],"functions":[18],"satisfying":[19],"(';":[21],"p)-Dunkl":[22],"Lipschitz":[23],"condition":[24],"in":[25],"space":[27],"Lp(Rd;wl(x)dx),":[28],"1":[29],"<":[30],"p":[31],"6":[32],"2,":[33],"where":[34],"wl":[35],"is":[36],"weight":[38],"function":[39],"invariant":[40],"under":[41],"action":[43],"an":[45],"associated":[46],"re":[47],"ection":[48],"group.":[49]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-07-22T00:00:00"}
