On measures derived from orbital integrals

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dc.conicet.fuenteCrossref
dc.conicet.organizacionConsejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón
dc.conicet.paisOrganizacionArgentina
dc.conicet.produccionid13186940
dc.contributor.authorMiglioli, Martín Carlos
dc.date.accessioned2026-07-17T10:35:10Z
dc.date.available2026-07-17T10:35:10Z
dc.date.issued2026-06
dc.date.updated2026-07-14T10:33:37Z
dc.description.abstractThe present work develops a framework to derive piecewise polynomial measures arising from invariant measures on adjoint orbits in the context of compact and semisimple Lie groups. These measures are computed from orbital integrals via transformations on spaces of polynomials endowed with the apolar inner product. In the case of the unitary group, we obtain a formula for the moments of the projection of an orbital measure.es
dc.description.filFil: Miglioli, Martín Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
dc.formatapplication/pdfes
dc.identifier.citationMiglioli, Martín Carlos; On measures derived from orbital integrals; Oxford University Press; International Mathematics Research Notices; 2026; 12; 6-2026; 1-21es
dc.identifier.institucionalCONICET
dc.identifier.issn1073-7928es
dc.identifier.repoCONICET Digital
dc.identifier.urihttp://hdl.handle.net/11336/292022
dc.journal.number12es
dc.journal.pagination1-21es
dc.journal.paisReino Unidoes
dc.journal.titleInternational Mathematics Research Noticeses
dc.journal.volume2026es
dc.language.isoenges
dc.publisherOxford University Presses
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1093/imrn/rnag132
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/imrn/article-abstract/2026/12/rnag132/8713670?redirectedFrom=fulltext
dc.rightsinfo:eu-repo/semantics/restrictedAccess*
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/*
dc.subjectORBITAL INTEGRALes
dc.subjectORBITAL MEASUREes
dc.subjectAPOLAR INNER PRODUCTes
dc.subjectREPRODUCING KERNELes
dc.subject.classificationMatemática Puraes
dc.subject.classificationMatemáticases
dc.subject.classificationCIENCIAS NATURALES Y EXACTASes
dc.titleOn measures derived from orbital integralses
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion

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