Hard Lefschetz theorem for valuations and related questions of integral geometry

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dc.creatorAlesker, Semyon
dc.date2003-06-08
dc.date2003-07-23
dc.date.accessioned2026-07-07T07:40:56Z
dc.date.available2026-07-07T07:40:56Z
dc.descriptionWe study the properties of the multiplicative structure on valuations on convex sets. We prove a new version of the hard Lefschetz theorem for even translation invariant continuous valuations, and discuss related problems of integral geometry. Then we formulate a conjectural analogue of this result for odd valuations.
dc.description14 pages, revised version
dc.identifierhttps://arxiv.org/abs/math/0306137
dc.identifierhttp://arxiv.org/abs/math/0306137
dc.identifierGeometric aspects of functional analysis, 9--20, Lecture Notes in Math., 1850, Springer, Berlin, 2004.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121931
dc.subjectMetric Geometry
dc.subjectDifferential Geometry
dc.titleHard Lefschetz theorem for valuations and related questions of integral geometry
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