The Mellin transform and spectral properties of toric varieties

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dc.creatorGuillemin, Victor
dc.creatorWang, Zuoqin
dc.date2007-06-25
dc.date2007-06-27
dc.date.accessioned2026-07-07T08:12:23Z
dc.date.available2026-07-07T08:12:23Z
dc.descriptionIn this article we apply results of \cite{W} on the twisted Mellin transform to problems in toric geometry. In particular we use these results to describe the asymptotics of probability densities associated with the monomial eigenstates, $z^k$, $k \in \ZZ^d$, in Bargmann space and prove an "upstairs" version of the spectral density theorem of \cite{BGU}. We also obtain for the $z^k$'s, "upstairs" versions of the results of \cite{STZ} on distribution laws for eigenstates on toric varieties.
dc.identifierhttps://arxiv.org/abs/0706.3696
dc.identifierhttp://arxiv.org/abs/0706.3696
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132435
dc.subjectSymplectic Geometry
dc.titleThe Mellin transform and spectral properties of toric varieties
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