The module of unitarily invariant area measures
The module of unitarily invariant area measures
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单位不变面积测度模
DOI：
10.4310/jdg/1391192695
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Thomas Wannerer
中科院分区：
文献类型：
--
作者：
Thomas Wannerer
研究了凸体的亚历山德罗夫面积测度的厄米模拟。建立了作为一元不变估值的第一次变化而出现的那些面积测度的特征。证明了一般光滑面积测度在光滑测度上形成一个模，并明确描述了统一不变面积测度的模。
The hermitian analog of Aleksandrov's area measures of convex bodies is investigated. A characterization of those area measures which arise as the first variation of unitarily invariant valuations is established. General smooth area measures are shown to form a module over smooth valuations and the module of unitarily invariant area measures is described explicitly.