Integral geometry of translation invariant functionals, I: The polytopal case

Weil Wolfgang

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Integral geometry of translation invariant functionals, I: The polytopal case

机译：平移不变泛函的积分几何，I：多拓扑情况

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We study translative integral formulas for certain translation invariant functionals on convex polytopes and discuss local extensions and applications to Poisson processes and Boolean models. (C) 2015 Elsevier Inc. All rights reserved.

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《Advances in Applied Mathematics》 |2015年第null期|共34页
作者
Weil Wolfgang;
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正文语种 eng
中图分类应用数学;
关键词
Convex polytopes; Local functional; Translative integral formula; Poisson particle process; Boolean model;

机译：凸多面体;局部功能;可转换积分公式;泊松粒子过程;布尔模型;

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1. Integral geometry of translation invariant functionals, I: The polytopal case [J] . Weil Wolfgang Advances in Applied Mathematics . 2015,第Null期

机译：平移不变泛函的积分几何，I：多拓扑情况
2. An integral invariant from the view point of locally conformally Kähler geometry [J] . Akito Futaki, Kota Hattori, Liviu Ornea Manuscripta Mathematica . 2013,第1a2期

机译：从局部保形Kähler几何学角度看积分不变量
3. An integral invariant from the view point of locally conformally K?hler geometry [J] . Futaki A., Hattori K., Ornea L. Manuscripta mathematica . 2013,第1a2期

机译：从局部保形K？hler几何学角度看积分不变量
4. Computation of Polytopal Invariant Sets of PWL Systems with Bounded Disturbances [C] . Sui, D., Ong, . 2007

机译：有界扰动的PWL系统的多局部不变集的计算
5. FUNDAMENTAL SYSTEMS OF POLYNOMIAL AND SINGLE VALUED INVARIANTS OF CONIC FORMS UNDER ROTATIONS AND TRANSLATIONS [D] . HUNT, MILDRED -1

机译：旋转和平移下圆锥形式的多项式和单值不变式的基本系统
6. Affine Geometries of Paths Possessing an Invariant Integral [O] . L. P. Eisenhart 1923

机译：具有不变积分的路径的仿射几何
7. Integral geometry of translation invariant functionals, I: The polytopal case [O] . Weil, Wolfgang 2013

机译：平移不变函数的积分几何，I：多面体案件

Integral geometry of translation invariant functionals, I: The polytopal case

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