Non-Gaussian Complex Random Fields, their Skeletons and Path Measures

被引：0
|
作者：
T. Deck
机构：
[1] Universität Mannheim,Fakultät für Mathematik und Informatik
来源：
Potential Analysis | 2006年 / 24卷
关键词：
holomorphic functionals; quasi invariance of path measures;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This work investigates complex random fields Z, which have a rotation invariant path measure. Fields of this type are constructed and analyzed in terms of (pathwise convergent) L2-expansions, and quasi invariance properties of their path measures are studied. The results are used to investigate ℋL2(Z), the space of holomorphic L2-functionals of Z. Conditions are given such that every F∈ℋL2(Z) admits an L2-power series expansion, and a general skeleton theorem is proved, which justifies the notion ‘holomorphic’.
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页码：63 / 86
页数：23
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