In geometric valuation theory, well-known examples of Minkowski valuations intertwining the special linear group are defined by the difference operator, projection operator and the moment operator. While the difference and projection operator are translation invariant the moment operator is not. The former examples can be seen as maps with values in the set of convex bodies in the first and the (n-1)-th exterior power of R^n respectively. By a result of Monika Ludwig the difference operator and the projection operator are the only continuous, translation invariant Minkowski valuations with their corresponding codomain that commute with the special linear group. We ask whether there is also a Minkowski valuation satisfying all of these prope...
38 pages; v2: references updated, typos corrected, Remark 1.2 and Section 6.2.1 addedWe define a not...
38 pages; v2: references updated, typos corrected, Remark 1.2 and Section 6.2.1 addedWe define a not...
Abstract. New Orlicz Brunn–Minkowski inequalities are established for rigid motion compatible Minkow...
In geometric valuation theory, well-known examples of Minkowski valuations intertwining the special ...
AbstractA complete classification is obtained of continuous, translation invariant, Minkowski valuat...
Parapatits All continuous SL(n)-covariant Lp-Minkowski valuations defined on convex bodies are compl...
Abstract. A convolution representation of continuous translation invariant and SO(n) equivariant Min...
on the occasion of his sixty-fifth birthday The projection body operator Π, which associates with ev...
AbstractA Steiner type formula for continuous translation invariant Minkowski valuations is establis...
on the occasion of his sixty-fifth birthday The projection body operator Π, which associates with ev...
Abweichender Titel nach Übersetzung der Verfasserin/des VerfassersThe Brunn-Minkowski inequality is ...
We show that the natural "convolution” on the space of smooth, even, translation-invariant convex va...
To this day, the starting point for many important developments in valuation theory is Hadwiger's re...
AbstractThe space of Minkowski valuations on an m-dimensional complex vector space which are continu...
Projection and intersection bodies define continuous and GL(n) contravariant valuations. They played...
38 pages; v2: references updated, typos corrected, Remark 1.2 and Section 6.2.1 addedWe define a not...
38 pages; v2: references updated, typos corrected, Remark 1.2 and Section 6.2.1 addedWe define a not...
Abstract. New Orlicz Brunn–Minkowski inequalities are established for rigid motion compatible Minkow...
In geometric valuation theory, well-known examples of Minkowski valuations intertwining the special ...
AbstractA complete classification is obtained of continuous, translation invariant, Minkowski valuat...
Parapatits All continuous SL(n)-covariant Lp-Minkowski valuations defined on convex bodies are compl...
Abstract. A convolution representation of continuous translation invariant and SO(n) equivariant Min...
on the occasion of his sixty-fifth birthday The projection body operator Π, which associates with ev...
AbstractA Steiner type formula for continuous translation invariant Minkowski valuations is establis...
on the occasion of his sixty-fifth birthday The projection body operator Π, which associates with ev...
Abweichender Titel nach Übersetzung der Verfasserin/des VerfassersThe Brunn-Minkowski inequality is ...
We show that the natural "convolution” on the space of smooth, even, translation-invariant convex va...
To this day, the starting point for many important developments in valuation theory is Hadwiger's re...
AbstractThe space of Minkowski valuations on an m-dimensional complex vector space which are continu...
Projection and intersection bodies define continuous and GL(n) contravariant valuations. They played...
38 pages; v2: references updated, typos corrected, Remark 1.2 and Section 6.2.1 addedWe define a not...
38 pages; v2: references updated, typos corrected, Remark 1.2 and Section 6.2.1 addedWe define a not...
Abstract. New Orlicz Brunn–Minkowski inequalities are established for rigid motion compatible Minkow...