Add to ORKGAbstract. In this paper we define the Lp-mixed curvature function of a convex body. We develop a formula connection the support function of Lp-mixed projection body with Fourier transform of the Lp-mixed curvature function. Using this formula we solve an analog of the Shephard projection problem for Lp-mixed projection bodies. 1
In this article, the general (p,q)-mixed projection bodies are introduced. Then, some basic properti...
International audienceWe give new formulas for finding a compactly supported function v on R^d, d≥1,...
Abstract. In this paper, we generalize the minimal mean width to the Brunn-Minkowski-Firey theory. W...
Abstract. We obtain injectivity results for certain integral transforms on Grassmann manifolds. Thes...
Abstract. In this paper we develop a Fourier analytic approach to problems in the Brunn-Minkowski-Fi...
Abstract. We disprove a conjecture of A. Koldobsky asking whether it is enough to compare (n−2)-deri...
AbstractThe Lp-cosine transform of an even, continuous function f∈Ce(Sn−1) is defined byH(x)=∫Sn−1|〈...
Abstract. The projection body of order one of a convex body K in R^n is the body whose support func...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
. A new kinematic formula for the support measures of convex bodies is proved. The underlying operat...
AbstractWe give a criterion for the intersection of two projections in Hilbert space to be a project...
ABSTRACT. For a convex bodyK ⊂ Rn and i ∈ {1,..., n − 1}, the function assigning to any i-dimensiona...
Summary. By the use of two examples, we discuss the techniques of Fourier analysis in the study of p...
The classical Brunn-Minkowski theory for convex bodies was developed from a few basic concepts: supp...
In this paper, we generalize the minimal mean width to the Brunn-Minkowski-Firey theory. We characte...
In this article, the general (p,q)-mixed projection bodies are introduced. Then, some basic properti...
International audienceWe give new formulas for finding a compactly supported function v on R^d, d≥1,...
Abstract. In this paper, we generalize the minimal mean width to the Brunn-Minkowski-Firey theory. W...
Abstract. We obtain injectivity results for certain integral transforms on Grassmann manifolds. Thes...
Abstract. In this paper we develop a Fourier analytic approach to problems in the Brunn-Minkowski-Fi...
Abstract. We disprove a conjecture of A. Koldobsky asking whether it is enough to compare (n−2)-deri...
AbstractThe Lp-cosine transform of an even, continuous function f∈Ce(Sn−1) is defined byH(x)=∫Sn−1|〈...
Abstract. The projection body of order one of a convex body K in R^n is the body whose support func...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
. A new kinematic formula for the support measures of convex bodies is proved. The underlying operat...
AbstractWe give a criterion for the intersection of two projections in Hilbert space to be a project...
ABSTRACT. For a convex bodyK ⊂ Rn and i ∈ {1,..., n − 1}, the function assigning to any i-dimensiona...
Summary. By the use of two examples, we discuss the techniques of Fourier analysis in the study of p...
The classical Brunn-Minkowski theory for convex bodies was developed from a few basic concepts: supp...
In this paper, we generalize the minimal mean width to the Brunn-Minkowski-Firey theory. We characte...
In this article, the general (p,q)-mixed projection bodies are introduced. Then, some basic properti...
International audienceWe give new formulas for finding a compactly supported function v on R^d, d≥1,...
Abstract. In this paper, we generalize the minimal mean width to the Brunn-Minkowski-Firey theory. W...