In mathematics, Shephard's problem, is the following geometrical question asked by Geoffrey Colin Shephard (): if K and L are centrally symmetric… (More)

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2016

2016

An Extension of Minkowski’s Theorem and Its Applications to Questions about Projections for Measures

- GALYNA V. LIVSHYTS
- 2016

Minkowski’s Theorem asserts that every centered measure on the sphere which is not concentrated on a great subsphere is the… (More)

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2015

2015

- Weidong Wang, Ting Zhang
- 2015

Gardner and Zhang defined the notion of radial pth mean body (p > –1) in the Euclidean space Rn. In this paper, we obtain… (More)

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2014

2014

- Xinhong Li, Tongyi Ma
- Wuhan University Journal of Natural Sciences
- 2014

In this article, we study the convex bodies associated with L p -projections in the Brunn-Minkowski-Firey theory, and apply the… (More)

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2008

2008

- Franz Schuster
- 2008

Projection and intersection bodies define continuous and GL(n) contravariant valuations. They played a critical role in the… (More)

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2007

2007

- Vladyslav Yaskin
- 2007

We disprove a conjecture of A. Koldobsky asking whether it is enough to compare (n−2)-derivatives of the projection functions of… (More)

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2003

2003

In [F] Firey extended the notion of the Minkowski sum, and introduced, for each real p, a new linear combination of convex bodies… (More)

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2002

2002

Abstract. The Fourier analytic approach to sections of convex bodies has recently been developed and has led to several results… (More)

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2002

2002

In [F] Firey extended the notion of the Minkowski sum, and introduced, for each real p, a new linear combination of convex bodies… (More)

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Review

2002

Review

2002

It has been noticed long ago that many results on sections and projections are dual to each other, though methods used in the… (More)

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