Regular Orbital Measures on Lie Algebras

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dc.creatorWright, Alex
dc.date2009-02-11
dc.date.accessioned2026-07-07T12:40:37Z
dc.date.available2026-07-07T12:40:37Z
dc.descriptionLet H be a regular element of an irreducible Lie Algebra g, and let mu be the orbital measure supported on the Adjoint orbit of H. We show that the k-th power of the Fourier transform of mu is in L^2(g) if and only if k > dim g/(dim g-rank g).
dc.identifierhttps://arxiv.org/abs/0902.1909
dc.identifierhttp://arxiv.org/abs/0902.1909
dc.identifierColloq. Math. 113 (2008), no. 1, 1--11
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219496
dc.subjectFunctional Analysis
dc.subject58C35; 22E60; 43A70
dc.titleRegular Orbital Measures on Lie Algebras
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