{"id":"https://openalex.org/W1981010095","doi":"https://doi.org/10.1007/s11537-014-1365-9","title":"Harmonic analysis on the Iwahori\u2013Hecke algebra","display_name":"Harmonic analysis on the Iwahori\u2013Hecke algebra","publication_year":2014,"publication_date":"2014-07-31","ids":{"openalex":"https://openalex.org/W1981010095","doi":"https://doi.org/10.1007/s11537-014-1365-9","mag":"1981010095"},"language":"en","primary_location":{"id":"doi:10.1007/s11537-014-1365-9","doi":"https://doi.org/10.1007/s11537-014-1365-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11537-014-1365-9","pdf_url":null,"source":{"id":"https://openalex.org/S156728337","display_name":"Japanese journal of mathematics","issn_l":"0075-3432","issn":["0075-3432","0289-2316","1861-3624"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1"],"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":"Japanese Journal of Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1007/s11537-014-1365-9","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053182383","display_name":"Yuval Z. Flicker","orcid":"https://orcid.org/0000-0002-3183-7300","observed_orcids":["https://orcid.org/0000-0002-3183-7300"]},"institutions":[{"id":"https://openalex.org/I52170813","display_name":"Ariel University","ror":"https://ror.org/03nz8qe97","country_code":"IL","type":"education","lineage":["https://openalex.org/I52170813"]},{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["IL","US"],"is_corresponding":true,"raw_author_name":"Yuval Z. Flicker","raw_affiliation_strings":["Ariel University, Ariel, 40700, Israel","The Ohio State University, Columbus, Ohio, 43210, USA","Ariel University","The Ohio State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ariel University, Ariel, 40700, Israel","institution_ids":["https://openalex.org/I52170813"]},{"raw_affiliation_string":"The Ohio State University, Columbus, Ohio, 43210, USA","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Ariel University","institution_ids":["https://openalex.org/I52170813"]},{"raw_affiliation_string":"The Ohio State University","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053182383"],"corresponding_institution_ids":["https://openalex.org/I52170813","https://openalex.org/I52357470"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06825159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"2","first_page":"171","last_page":"216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":9.999999747378752e-05,"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"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/iwahori-hecke-algebras","display_name":"Iwahori-Hecke algebras","score":0.9610000252723694},{"id":"https://openalex.org/keywords/p-adic-reductive-groups","display_name":"p-adic reductive groups","score":0.8360000252723694},{"id":"https://openalex.org/keywords/trace-form","display_name":"trace form","score":0.7940000295639038},{"id":"https://openalex.org/keywords/eisenstein-series","display_name":"Eisenstein series","score":0.9589999914169312},{"id":"https://openalex.org/keywords/principal-series","display_name":"principal series","score":0.8220000267028809},{"id":"https://openalex.org/keywords/intertwining-operators","display_name":"intertwining operators","score":0.9580000042915344},{"id":"https://openalex.org/keywords/group-presentations","display_name":"group presentations","score":0.6809999942779541}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8640914559364319},{"id":"https://openalex.org/C2781280181","wikidata":"https://www.wikidata.org/wiki/Q48970267","display_name":"Hecke algebra","level":3,"score":0.8101817965507507},{"id":"https://openalex.org/C67996461","wikidata":"https://www.wikidata.org/wiki/Q629933","display_name":"Subalgebra","level":3,"score":0.5975443720817566},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.5942381024360657},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5763144493103027},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5550567507743835},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.4217546284198761},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11537-014-1365-9","doi":"https://doi.org/10.1007/s11537-014-1365-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11537-014-1365-9","pdf_url":null,"source":{"id":"https://openalex.org/S156728337","display_name":"Japanese journal of mathematics","issn_l":"0075-3432","issn":["0075-3432","0289-2316","1861-3624"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1"],"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":"Japanese Journal of Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11537-014-1365-9","doi":"https://doi.org/10.1007/s11537-014-1365-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11537-014-1365-9","pdf_url":null,"source":{"id":"https://openalex.org/S156728337","display_name":"Japanese journal of mathematics","issn_l":"0075-3432","issn":["0075-3432","0289-2316","1861-3624"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1"],"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":"Japanese Journal of Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1500277669","https://openalex.org/W1565930783","https://openalex.org/W1585141730","https://openalex.org/W1665351419","https://openalex.org/W1972241102","https://openalex.org/W1978826824","https://openalex.org/W2023226573","https://openalex.org/W2115150691","https://openalex.org/W2154669038","https://openalex.org/W2907627159","https://openalex.org/W2969857567"],"related_works":["https://openalex.org/W2607713191","https://openalex.org/W4385699824","https://openalex.org/W2042560047","https://openalex.org/W2342836379","https://openalex.org/W2952916681","https://openalex.org/W2115150691","https://openalex.org/W2050340036","https://openalex.org/W2953677102","https://openalex.org/W4300170151","https://openalex.org/W2964041882"],"abstract_inverted_index":{"These":[0],"are":[1,39,71,107],"purely":[2],"expository":[3],"notes":[4],"of":[5,9,25,54,68,97,125,128,134,141,156,175],"Opdam\u2019s":[6],"analysis":[7,70],"[O1]":[8],"the":[10,17,55,89,98,102,110,129,159],"trace":[11,78],"form":[12],"\u03c4(f)":[13],"=":[14,21,167],"f(e)":[15],"on":[16,30],"Hecke":[18],"algebra":[19,131,145],"H":[20],"C":[22,168],"c":[23,169],"(I\\G/I)":[24],"compactly":[26],"supported":[27],"functions":[28],"f":[29],"a":[31,142,147,153,173],"connected":[32],"reductive":[33],"split":[34],"p-adic":[35],"group":[36],"G":[37],"which":[38,60],"biinvariant":[40],"under":[41,88],"an":[42,139],"Iwahori":[43],"subgroup":[44],"I,":[45],"extending":[46],"Macdonald\u2019s":[47,75,118],"work.":[48],"We":[49,151],"attempt":[50],"to":[51,62,117,171],"give":[52,152],"details":[53],"proofs,":[56],"and":[57,109,136],"choose":[58],"notations":[59],"seem":[61],"us":[63],"more":[64],"standard.":[65],"Many":[66],"objects":[67],"harmonic":[69],"met:":[72],"principal":[73,162],"series,":[74],"spherical":[76,119],"forms,":[77,79],"Bernstein":[80],"forms.":[81,120],"The":[82,95],"latter":[83],"were":[84],"introduced":[85],"by":[86,115,132,146],"Opdam":[87],"name":[90],"Eisenstein":[91],"series":[92,163],"for":[93],"H.":[94],"idea":[96],"proof":[99,155],"is":[100,113,123],"that":[101],"last":[103],"two":[104],"linear":[105],"forms":[106],"proportional,":[108],"proportionality":[111],"constant":[112],"computed":[114],"projection":[116],"Crucial":[121],"use":[122],"made":[124],"Bernstein\u2019s":[126],"presentation":[127],"Iwahori\u2013Hecke":[130],"means":[133],"generators":[135],"relations,":[137],"as":[138],"extension":[140],"finite":[143],"dimensional":[144],"large":[148],"commutative":[149],"subalgebra.":[150],"complete":[154],"this":[157],"using":[158],"universal":[160],"unramified":[161],"right":[164],"H-module":[165],"M":[166],"(A(O)N\\G/I)":[170],"develop":[172],"theory":[174],"intertwining":[176],"operators":[177],"algebraically.":[178]},"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}