{"id":"https://openalex.org/W2886854479","doi":"https://doi.org/10.4171/prims/55-3-3","title":"Harmonic Hadamard Manifolds and Gauss Hypergeometric Differential Equations","display_name":"Harmonic Hadamard Manifolds and Gauss Hypergeometric Differential Equations","publication_year":2019,"publication_date":"2019-07-22","ids":{"openalex":"https://openalex.org/W2886854479","doi":"https://doi.org/10.4171/prims/55-3-3","mag":"2886854479"},"language":"en","primary_location":{"id":"doi:10.4171/prims/55-3-3","doi":"https://doi.org/10.4171/prims/55-3-3","is_oa":false,"landing_page_url":"https://doi.org/10.4171/prims/55-3-3","pdf_url":null,"source":{"id":"https://openalex.org/S40062587","display_name":"Publications of the Research Institute for Mathematical Sciences","issn_l":"0034-5318","issn":["0034-5318","1663-4926"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310313424","host_organization_name":"Kyoto University","host_organization_lineage":["https://openalex.org/P4310313424"],"host_organization_lineage_names":["Kyoto University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Publications of the Research Institute for Mathematical Sciences","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W2886854479"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1808.00625","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031112586","display_name":"Mitsuhiro Itoh","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Mitsuhiro Itoh","raw_affiliation_strings":["University of Tsukuba, Ibaraki, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Tsukuba, Ibaraki, Japan","institution_ids":["https://openalex.org/I146399215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010155131","display_name":"Hiroyasu Satoh","orcid":"https://orcid.org/0000-0002-1840-093X","observed_orcids":["https://orcid.org/0000-0002-1840-093X"]},"institutions":[{"id":"https://openalex.org/I95053508","display_name":"Nippon Institute of Technology","ror":"https://ror.org/05h68bp56","country_code":"JP","type":"education","lineage":["https://openalex.org/I95053508"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroyasu Satoh","raw_affiliation_strings":["Nippon Institute of Technology, Saitama, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nippon Institute of Technology, Saitama, Japan","institution_ids":["https://openalex.org/I95053508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2075,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.34762477,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"55","issue":"3","first_page":"531","last_page":"564"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.7060999870300293,"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":0.7060999870300293,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.12330000102519989,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.06560000032186508,"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/spherical-fourier-transform","display_name":"spherical Fourier transform","score":0.9950000047683716},{"id":"https://openalex.org/keywords/inversion-formula","display_name":"inversion formula","score":0.9890000224113464},{"id":"https://openalex.org/keywords/volume-density","display_name":"volume density","score":0.8880000114440918},{"id":"https://openalex.org/keywords/riemannian-manifolds","display_name":"Riemannian manifolds","score":0.7839999794960022}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.689893901348114},{"id":"https://openalex.org/C158241908","wikidata":"https://www.wikidata.org/wiki/Q109744257","display_name":"Generalized hypergeometric function","level":3,"score":0.6712411642074585},{"id":"https://openalex.org/C148160416","wikidata":"https://www.wikidata.org/wiki/Q783948","display_name":"Confluent hypergeometric function","level":3,"score":0.6125208735466003},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.6031739711761475},{"id":"https://openalex.org/C165175332","wikidata":"https://www.wikidata.org/wiki/Q5958021","display_name":"Hypergeometric function of a matrix argument","level":4,"score":0.5854467749595642},{"id":"https://openalex.org/C176671685","wikidata":"https://www.wikidata.org/wiki/Q730600","display_name":"Hypergeometric distribution","level":2,"score":0.5409643650054932},{"id":"https://openalex.org/C92941272","wikidata":"https://www.wikidata.org/wiki/Q1062958","display_name":"Basic hypergeometric series","level":3,"score":0.5382357239723206},{"id":"https://openalex.org/C181881257","wikidata":"https://www.wikidata.org/wiki/Q4780998","display_name":"Appell series","level":5,"score":0.4938252866268158},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47960054874420166},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47662246227264404},{"id":"https://openalex.org/C60400383","wikidata":"https://www.wikidata.org/wiki/Q17028407","display_name":"Hypergeometric identity","level":5,"score":0.42305412888526917},{"id":"https://openalex.org/C197320386","wikidata":"https://www.wikidata.org/wiki/Q21028472","display_name":"Hypergeometric function","level":2,"score":0.34648388624191284}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.4171/prims/55-3-3","doi":"https://doi.org/10.4171/prims/55-3-3","is_oa":false,"landing_page_url":"https://doi.org/10.4171/prims/55-3-3","pdf_url":null,"source":{"id":"https://openalex.org/S40062587","display_name":"Publications of the Research Institute for Mathematical Sciences","issn_l":"0034-5318","issn":["0034-5318","1663-4926"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310313424","host_organization_name":"Kyoto University","host_organization_lineage":["https://openalex.org/P4310313424"],"host_organization_lineage_names":["Kyoto University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Publications of the Research Institute for Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1808.00625","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.00625","pdf_url":"https://arxiv.org/pdf/1808.00625","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2886854479","doi":null,"is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1808.00625","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1808.00625","doi":"https://doi.org/10.48550/arxiv.1808.00625","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1808.00625","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1808.00625","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.00625","pdf_url":"https://arxiv.org/pdf/1808.00625","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3055835864","display_name":"Geometry of barycenter map on Hadamard manifolds admitting Busemann-Poisson kernel","funder_award_id":"15K17545","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2886854479.pdf","grobid_xml":"https://content.openalex.org/works/W2886854479.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W158216070","https://openalex.org/W1512162381","https://openalex.org/W1527329021","https://openalex.org/W1556665637","https://openalex.org/W1572115049","https://openalex.org/W1574180159","https://openalex.org/W1823562442","https://openalex.org/W1965601153","https://openalex.org/W1969608802","https://openalex.org/W1985294532","https://openalex.org/W1987250610","https://openalex.org/W2003115626","https://openalex.org/W2010251853","https://openalex.org/W2033287169","https://openalex.org/W2039343706","https://openalex.org/W2041467007","https://openalex.org/W2045935336","https://openalex.org/W2053947267","https://openalex.org/W2064013450","https://openalex.org/W2071662694","https://openalex.org/W2090597237","https://openalex.org/W2153269103","https://openalex.org/W2499059681","https://openalex.org/W2530180575","https://openalex.org/W2585910944","https://openalex.org/W2963765076","https://openalex.org/W3038420293","https://openalex.org/W3038769278"],"related_works":["https://openalex.org/W3032367446","https://openalex.org/W3093559155","https://openalex.org/W2736634541","https://openalex.org/W2960916944","https://openalex.org/W7140794791","https://openalex.org/W2944004208","https://openalex.org/W2789047463","https://openalex.org/W2262546555","https://openalex.org/W7098638914","https://openalex.org/W1973360962"],"abstract_inverted_index":{"A":[0,20,36],"new":[1],"class":[2],"of":[3,16,29,38,44],"harmonic":[4,26,40],"Hadamard":[5,27,41],"manifolds,":[6],"those":[7],"spaces":[8],"called":[9],"hypergeometric":[10,18,30,45],"type,":[11],"is":[12,47],"defined":[13,24],"in":[14],"terms":[15],"Gauss":[17],"equations.":[19],"spherical":[21],"Fourier":[22],"transform":[23],"on":[25],"manifolds":[28],"type":[31,46],"admits":[32],"an":[33],"inversion":[34],"formula.":[35],"characterization":[37],"the":[39],"manifold":[42],"as":[43],"obtained":[48],"with":[49],"respect":[50],"to":[51],"volume":[52],"density.":[53]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2018-08-22T00:00:00"}