Higher powers of quantum white noises in terms of integral kernel operators

被引：20

作者：

Chung, DM ^{[1
]}

Ji, UC

Obata, N

机构：

[1] Sogang Univ, Dept Math, Seoul 121742, South Korea

[2] Seoul Natl Univ, Dept Math, Global Anal Res Ctr, Seoul 151742, South Korea

[3] Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan

来源：

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 1998年 / 1卷 / 04期

关键词：

D O I：

10.1142/S0219025798000296

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A rigorous mathematical formulation of higher powers of quantum white noises is given on the basis of the most recent theory of white noise distributions due to Cochran, Kuo and Sengupta. The renormalized quantum Ito formula due to Accardi, Lu and Volovich is derived from the renormalized product formula based on integral kernel operators on white noise functions. During the discussion, the analytic characterization of operator symbols and the expansion theorem for a white noise operator in terms of integral kernel operators are established.

引用

页码：533 / 559

页数：27

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