Transformations on white noise functions associated with second order differential operators of diagonal type

被引：8
作者：
Chung, DM [1 ]
Ji, UC
Obata, N
机构：
[1] Sogang Univ, Dept Math, Seoul 121742, South Korea
[2] Sogang Univ, Dept Math, Seoul 121742, South Korea
[3] Nagoya Univ, Grad Sch Polymath, Nagoya, Aichi 4648602, Japan
来源：
NAGOYA MATHEMATICAL JOURNAL | 1998年 / 149卷
关键词：
D O I：
10.1017/S0027763000006590
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A generalized number operator and a generalized Gross Laplacian are introduced on the basis of white noise distribution theory. The equicontinuity is examined and associated one-parameter transformation groups are constructed. An infinite dimensional analogue of ax + b group and Cauchy problems on white noise space are discussed.
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收藏
页码：173 / 192
页数：20
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