{"id":"https://openalex.org/W1993372006","doi":"https://doi.org/10.1007/pl00004434","title":"Shimura invariant differential operators and their eigenvalues","display_name":"Shimura invariant differential operators and their eigenvalues","publication_year":2001,"publication_date":"2001-02-01","ids":{"openalex":"https://openalex.org/W1993372006","doi":"https://doi.org/10.1007/pl00004434","mag":"1993372006"},"language":"en","primary_location":{"id":"doi:10.1007/pl00004434","doi":"https://doi.org/10.1007/pl00004434","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00004434","pdf_url":null,"source":{"id":"https://openalex.org/S192217950","display_name":"Mathematische Annalen","issn_l":"0025-5831","issn":["0025-5831","1432-1807"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematische Annalen","raw_type":"journal-article"},"volume":null,"type":"article","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/A5077166058","display_name":"Genkai Zhang","orcid":"https://orcid.org/0000-0003-1147-3391","observed_orcids":["https://orcid.org/0000-0003-1147-3391"]},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]},{"id":"https://openalex.org/I881427289","display_name":"University of Gothenburg","ror":"https://ror.org/01tm6cn81","country_code":"SE","type":"education","lineage":["https://openalex.org/I881427289"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Genkai Zhang","raw_affiliation_strings":["Department of Mathematics, Chalmers University of Technology and G\u00f6teborg University, S-412 96 G\u00f6teborg, Sweden (e-mail: genkai@math.chalmers.se)\n, , , , , , SE","Department of Mathematics, Chalmers University of Technology and G\u00f6teborg University, S-412 96 G\u00f6teborg, Sweden (e-mail: genkai@math.chalmers.se)#N#, , SE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Chalmers University of Technology and G\u00f6teborg University, S-412 96 G\u00f6teborg, Sweden (e-mail: genkai@math.chalmers.se)\n, , , , , , SE","institution_ids":["https://openalex.org/I66862912","https://openalex.org/I881427289"]},{"raw_affiliation_string":"Department of Mathematics, Chalmers University of Technology and G\u00f6teborg University, S-412 96 G\u00f6teborg, Sweden (e-mail: genkai@math.chalmers.se)#N#, , SE","institution_ids":["https://openalex.org/I66862912","https://openalex.org/I881427289"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077166058"],"corresponding_institution_ids":["https://openalex.org/I66862912","https://openalex.org/I881427289"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":2.604,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.87196419,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"319","issue":"2","first_page":"235","last_page":"265"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.98580002784729,"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":0.98580002784729,"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/T12351","display_name":"Geometry and complex manifolds","score":0.004600000102072954,"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"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.0019000000320374966,"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/eigenvalues","display_name":"eigenvalues","score":0.8289999961853027},{"id":"https://openalex.org/keywords/hermitian-symmetric-spaces","display_name":"Hermitian symmetric spaces","score":0.9079999923706055},{"id":"https://openalex.org/keywords/line-bundles","display_name":"line bundles","score":0.9079999923706055},{"id":"https://openalex.org/keywords/electric-generators","display_name":"generators","score":0.41100001335144043}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8635837435722351},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.6799368858337402},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.6373244524002075},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.61673903465271},{"id":"https://openalex.org/C9136319","wikidata":"https://www.wikidata.org/wiki/Q362640","display_name":"Covariant transformation","level":2,"score":0.6077924966812134},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5598771572113037},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.5102949142456055},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5071310997009277},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.415166974067688},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.2550605535507202},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06257307529449463},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/pl00004434","doi":"https://doi.org/10.1007/pl00004434","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00004434","pdf_url":null,"source":{"id":"https://openalex.org/S192217950","display_name":"Mathematische Annalen","issn_l":"0025-5831","issn":["0025-5831","1432-1807"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematische Annalen","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W10800830","https://openalex.org/W1508718704","https://openalex.org/W1515192744","https://openalex.org/W1532632375","https://openalex.org/W1542123058","https://openalex.org/W1559449288","https://openalex.org/W1968731969","https://openalex.org/W1987456686","https://openalex.org/W2008821663","https://openalex.org/W2009087273","https://openalex.org/W2025016061","https://openalex.org/W2037493447","https://openalex.org/W2053191306","https://openalex.org/W2074473232","https://openalex.org/W2080330073","https://openalex.org/W2087640086","https://openalex.org/W2100038628","https://openalex.org/W2134984950","https://openalex.org/W2326710217","https://openalex.org/W2332260322"],"related_works":["https://openalex.org/W2211201902","https://openalex.org/W3094515845","https://openalex.org/W2982338311","https://openalex.org/W4237698157","https://openalex.org/W4248353673","https://openalex.org/W2950761947","https://openalex.org/W3185648916","https://openalex.org/W1635499494","https://openalex.org/W2080635210","https://openalex.org/W2025446135"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}