Add to ORKGWe give a new proof of the Hadwiger theorem on convex functions derived from a characterization of smooth rotation invariant valuations. We also give a description of the construction of singular Hessian valuations using integration over the differential cycle and provide a new representation of these functionals as principal value integrals with respect to the Hessian measures.Comment: 37 pages, new representation formula for singular Hessian valuation
AbstractProjection and intersection bodies define continuous and GL(n) contravariant valuations. The...
In the first part of the dissertation we prove that, under quite general conditions on a cost functi...
AbstractA new method of constructing translation invariant continuous valuations on convex subsets o...
A complete family of functional Steiner formulas is established. As applications, an explicit repres...
We study dually epi-translation invariant valuations on cones of convex functions containing the spa...
We characterize the positive radial continuous and rotation invariant valuations V defined on the st...
We show that the natural "convolution” on the space of smooth, even, translation-invariant convex va...
AbstractThis article is the second part in the series of articles where we are developing theory of ...
Projection and intersection bodies define continuous and GL(n) contravariant valuations. They played...
We study real-valued valuations on the space of Lipschitz functions over the Euclidean unit sphere S...
One of the most important results in geometric convexity is Hadwiger's characterization of quermassi...
AbstractProjection and intersection bodies define continuous and GL(n) contravariant valuations. The...
Abstract. We discuss valuations on convex sets of oriented hyperplanes in Rd. For d = 2, we prove an...
summary:Let $f$ be a function defined on the set ${\mathbf M}^{2\times 2}$ of all $2$ by $2$ matrice...
summary:Let $f$ be a function defined on the set ${\mathbf M}^{2\times 2}$ of all $2$ by $2$ matrice...
AbstractProjection and intersection bodies define continuous and GL(n) contravariant valuations. The...
In the first part of the dissertation we prove that, under quite general conditions on a cost functi...
AbstractA new method of constructing translation invariant continuous valuations on convex subsets o...
A complete family of functional Steiner formulas is established. As applications, an explicit repres...
We study dually epi-translation invariant valuations on cones of convex functions containing the spa...
We characterize the positive radial continuous and rotation invariant valuations V defined on the st...
We show that the natural "convolution” on the space of smooth, even, translation-invariant convex va...
AbstractThis article is the second part in the series of articles where we are developing theory of ...
Projection and intersection bodies define continuous and GL(n) contravariant valuations. They played...
We study real-valued valuations on the space of Lipschitz functions over the Euclidean unit sphere S...
One of the most important results in geometric convexity is Hadwiger's characterization of quermassi...
AbstractProjection and intersection bodies define continuous and GL(n) contravariant valuations. The...
Abstract. We discuss valuations on convex sets of oriented hyperplanes in Rd. For d = 2, we prove an...
summary:Let $f$ be a function defined on the set ${\mathbf M}^{2\times 2}$ of all $2$ by $2$ matrice...
summary:Let $f$ be a function defined on the set ${\mathbf M}^{2\times 2}$ of all $2$ by $2$ matrice...
AbstractProjection and intersection bodies define continuous and GL(n) contravariant valuations. The...
In the first part of the dissertation we prove that, under quite general conditions on a cost functi...
AbstractA new method of constructing translation invariant continuous valuations on convex subsets o...