A unified characterization theorem in white noise theory

被引：17
|
作者：
Ji, UC [1 ]
Obata, N
机构：
[1] Chungbuk Natl Univ, Dept Math, Cheongju 361763, South Korea
[2] Tohoku Univ, Grad Sch Informat Sci, Sendai, Miyagi 9808579, Japan
来源：
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2003年 / 6卷 / 02期
关键词：
white noise theory; S-transform; operator symbol; Gateaux-entire function; Fock space;
D O I：
10.1142/S0219025703001122
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We revisit a CKS-space from the viewpoint of standard setup of white noise calculus and prove a general characterization theorem for white noise operators from a CKS-space into another CKS-space. The usual characterizations so far obtained for white noise distributions, white noise test functions and white noise operators are all consequences of the unified characterization theorem.
引用
收藏
页码：167 / 178
页数：12
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