Harmonic analysis on some generalized Gelfand pairs attached to Heisenberg groups

Autores
Levstein, Fernando; Saal, Linda Victoria
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let H_n be the 2n + 1-dimensional Heisenberg group. We consider thegeneralized Gelfand pairs (R*xH_1,R) and ((R_{>0} ×SO(n))xH_n, R_?>0? ×SO(n)) for n ≥ 2.We describe the spherical distributions corresponding to these pairs and we obtain inversionformulæ in terms of them for the spaces of Schwartz functions on R^{2n}and H_n. We use theTengstrand transform to compute the spherical distributions for n = 1 explicitly.
Fil: Levstein, Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Saal, Linda Victoria. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Materia
HEISENBERG GROUP
SPHERICAL DISTRIBUTION
GENERALIZED GELFAND PAIR
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/88154
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/88154
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Harmonic analysis on some generalized Gelfand pairs attached to Heisenberg groupsLevstein, FernandoSaal, Linda VictoriaHEISENBERG GROUPSPHERICAL DISTRIBUTIONGENERALIZED GELFAND PAIRhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let H_n be the 2n + 1-dimensional Heisenberg group. We consider thegeneralized Gelfand pairs (R*xH_1,R) and ((R_{>0} ×SO(n))xH_n, R_?>0? ×SO(n)) for n ≥ 2.We describe the spherical distributions corresponding to these pairs and we obtain inversionformulæ in terms of them for the spaces of Schwartz functions on R^{2n}and H_n. We use theTengstrand transform to compute the spherical distributions for n = 1 explicitly.Fil: Levstein, Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaFil: Saal, Linda Victoria. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaPolish Academy of Sciences. Institute of Mathematics2018-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/88154Levstein, Fernando; Saal, Linda Victoria; Harmonic analysis on some generalized Gelfand pairs attached to Heisenberg groups; Polish Academy of Sciences. Institute of Mathematics; Studia Mathematica; 241; 2; 2-2018; 135-1580039-32231730-6337CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.impan.pl/get/doi/10.4064/sm8592-5-2017info:eu-repo/semantics/altIdentifier/doi/10.4064/sm8592-5-2017info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-17T11:57:57Zoai:ri.conicet.gov.ar:11336/88154instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-17 11:57:57.392CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Harmonic analysis on some generalized Gelfand pairs attached to Heisenberg groups
title Harmonic analysis on some generalized Gelfand pairs attached to Heisenberg groups
spellingShingle Harmonic analysis on some generalized Gelfand pairs attached to Heisenberg groups
Levstein, Fernando
HEISENBERG GROUP
SPHERICAL DISTRIBUTION
GENERALIZED GELFAND PAIR
title_short Harmonic analysis on some generalized Gelfand pairs attached to Heisenberg groups
title_full Harmonic analysis on some generalized Gelfand pairs attached to Heisenberg groups
title_fullStr Harmonic analysis on some generalized Gelfand pairs attached to Heisenberg groups
title_full_unstemmed Harmonic analysis on some generalized Gelfand pairs attached to Heisenberg groups
title_sort Harmonic analysis on some generalized Gelfand pairs attached to Heisenberg groups
dc.creator.none.fl_str_mv Levstein, Fernando
Saal, Linda Victoria
author Levstein, Fernando
author_facet Levstein, Fernando
Saal, Linda Victoria
author_role author
author2 Saal, Linda Victoria
author2_role author
dc.subject.none.fl_str_mv HEISENBERG GROUP
SPHERICAL DISTRIBUTION
GENERALIZED GELFAND PAIR
topic HEISENBERG GROUP
SPHERICAL DISTRIBUTION
GENERALIZED GELFAND PAIR
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let H_n be the 2n + 1-dimensional Heisenberg group. We consider thegeneralized Gelfand pairs (R*xH_1,R) and ((R_{>0} ×SO(n))xH_n, R_?>0? ×SO(n)) for n ≥ 2.We describe the spherical distributions corresponding to these pairs and we obtain inversionformulæ in terms of them for the spaces of Schwartz functions on R^{2n}and H_n. We use theTengstrand transform to compute the spherical distributions for n = 1 explicitly.
Fil: Levstein, Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Saal, Linda Victoria. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
description Let H_n be the 2n + 1-dimensional Heisenberg group. We consider thegeneralized Gelfand pairs (R*xH_1,R) and ((R_{>0} ×SO(n))xH_n, R_?>0? ×SO(n)) for n ≥ 2.We describe the spherical distributions corresponding to these pairs and we obtain inversionformulæ in terms of them for the spaces of Schwartz functions on R^{2n}and H_n. We use theTengstrand transform to compute the spherical distributions for n = 1 explicitly.
publishDate 2018
dc.date.none.fl_str_mv 2018-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/88154
Levstein, Fernando; Saal, Linda Victoria; Harmonic analysis on some generalized Gelfand pairs attached to Heisenberg groups; Polish Academy of Sciences. Institute of Mathematics; Studia Mathematica; 241; 2; 2-2018; 135-158
0039-3223
1730-6337
CONICET Digital
CONICET
url http://hdl.handle.net/11336/88154
identifier_str_mv Levstein, Fernando; Saal, Linda Victoria; Harmonic analysis on some generalized Gelfand pairs attached to Heisenberg groups; Polish Academy of Sciences. Institute of Mathematics; Studia Mathematica; 241; 2; 2-2018; 135-158
0039-3223
1730-6337
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.impan.pl/get/doi/10.4064/sm8592-5-2017
info:eu-repo/semantics/altIdentifier/doi/10.4064/sm8592-5-2017
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Polish Academy of Sciences. Institute of Mathematics
publisher.none.fl_str_mv Polish Academy of Sciences. Institute of Mathematics
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1843606923520245760
score 13.001348

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