Notes on Sobolev spaces on compact classical groups and Stein--Sahi representations

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dc.creatorNeretin, Yuri A.
dc.date2004-11-18
dc.date.accessioned2026-07-07T05:14:28Z
dc.date.available2026-07-07T05:14:28Z
dc.descriptionWe discuss kernels on complact classical groups $G=\U(n)$, $\OO(2n)$, $\Sp(n)$ defined by the formula $K(z,u)=|\det(1-zu^*)|^s$. We obtain the explicit Plancherel formula for these kernels and the interval of positive-definiteness. We also obtain explicit models for Sahi's 'unipotent' representations.
dc.description30pp
dc.identifierhttps://arxiv.org/abs/math/0411419
dc.identifierhttp://arxiv.org/abs/math/0411419
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73288
dc.subjectRepresentation Theory
dc.subjectClassical Analysis and ODEs
dc.subject22E46, 243A8, 52E70, 46E35, 22E30
dc.titleNotes on Sobolev spaces on compact classical groups and Stein--Sahi representations
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