A Comparison of Two Spaces of Generalized White Noise Functionals

被引：0
|
作者：
Gjermund Våge
机构：
[1] University of Oslo,Department of Mathematics
来源：
Potential Analysis | 1999年 / 10卷
关键词：
Kondratiev spaces; Herwite transform; -transform.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the literature (see [5, 6, 8]) there are two families of spaces called Kondratiev spaces: (ℵc)±ρ and (Sc)±ρ for 0 ≤ ρ ≤ 1. We investigate the relation between the spaces and show that they are topologically isomorphic when ℵ (ℝd) ⊂ L2 (ℝd) ⊂ ℵ′ (ℝd) is the underlying Gel'fand triple for (ℵc)±ρ. In this case we also give the explicit relation between the S-transform and ℋ-transform on (ℵc)-1 and (Sc)-1, respectively.
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页码：1 / 26
页数：25
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