Centrally symmetric convex bodies and Radon transforms on higher order Grassmannians
Centrally symmetric convex bodies and Radon transforms on higher order Grassmannians
复制标题
高阶格拉斯曼函数的中心对称凸体和 Radon 变换
DOI：
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
W. Weil
中科院分区：
文献类型：
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作者：
P. Goodey;W. Weil
本工作的目的是研究Radon变换和中心对称凸体之间的关系。由于Radon变换的注入性质，很自然地将球上的变换与高阶格拉斯曼变换分开考虑。在这里，我们将集中讨论后者，而前者将是另一篇正在准备的文章的主题，Goodey和Weil[1991]。
The purpose of this work is to investigate the relationship between Radon transforms and centrally symmetric convex bodies. Because of the injectivity properties of the Radon transform it is natural to consider transforms on the sphere separately from those on the higher order Grassmannians. Here we shall concentrate on the latter, whilst the former will be the subject of another article presently in preparation, Goodey and Weil [1991].