Harmonic Analysis of Translation Invariant Valuations
نویسندگان
چکیده
منابع مشابه
Fourier type transform on translation invariant valuations on convex sets
Let V be a finite dimensional real vector space. Let V alsm(V ) be the space of translation invariant smooth valuations on convex compact subsets of V . Let Dens(V ) be the space of Lebesgue measures on V . The goal of the article is to construct and study an isomorphism FV : V alsm(V )−̃→V alsm(V ∗)⊗Dens(V ) such that FV commutes with the natural action of the full linear group on both spaces, ...
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Let V be a finite dimensional real vector space. Let V alsm(V ) be the space of translation invariant smooth valuations on convex compact subsets of V . Let Dens(V ) be the space of Lebesgue measures on V . The goal of the article is to construct and study an isomorphism FV : V alsm(V )−̃→V alsm(V ∗)⊗Dens(V ) such that FV commutes with the natural action of the full linear group on both spaces, ...
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ژورنال
عنوان ژورنال: Geometric and Functional Analysis
سال: 2011
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-011-0125-8