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dc.contributor.author
Ørsted, Bent
dc.contributor.author
Vargas, Jorge Antonio
dc.date.available
2021-10-13T18:18:47Z
dc.date.issued
2020-12-01
dc.identifier.citation
Ørsted, Bent; Vargas, Jorge Antonio; Branching problems in reproducing kernel spaces; Duke University Press; Duke Mathematical Journal; 169; 18; 1-12-2020; 3477-3537
dc.identifier.issn
0012-7094
dc.identifier.uri
http://hdl.handle.net/11336/143434
dc.description.abstract
For a semisimple Lie group G satisfying the equal-rank condition, the most basic family of unitary irreducible representations is the discrete series found by Harish-Chandra. In our work here we study some of the branching laws for discrete series when restricted to a subgroup H of the same type by combining classical results with recent work of Kobayashi; in particular, we prove discrete decomposability under Harish-Chandra’s condition of cusp form on the reproducing kernel. We show a relation between discrete decomposability and representing certain intertwining operators in terms of differential operators.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Duke University Press
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Discrete series
dc.subject
Branching laws
dc.subject
Admissible restriction
dc.subject
Reproducing kernel
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Branching problems in reproducing kernel spaces
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-09-06T15:13:37Z
dc.journal.volume
169
dc.journal.number
18
dc.journal.pagination
3477-3537
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Ørsted, Bent. University Aarhus; Dinamarca
dc.description.fil
Fil: Vargas, Jorge Antonio. 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. Universidad Nacional de Córdoba; Argentina
dc.journal.title
Duke Mathematical Journal
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/journals/duke-mathematical-journal/volume-169/issue-18/Branching-problems-in-reproducing-kernel-spaces/10.1215/00127094-2020-0032.short
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1215/00127094-2020-0032
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