Characterization of probability measures through the canonically associated interacting Fock spaces

被引：38

作者：

Accardi, L ^{[1
]}

Kuo, HH

Stan, A

机构：

[1] Univ Roma Tor Vergata, Ctr Vito Volterra, I-00133 Rome, Italy

[2] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[3] Univ Rochester, Dept Math, Rochester, NY 14627 USA

来源：

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2004年 / 7卷 / 04期

基金：

美国国家科学基金会;

关键词：

probability measure; orthogonal polynomials; polynomially symmetric; polynomially factorizable;

D O I：

10.1142/S0219025704001736

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We continue our program of coding the whole information of a probability measure into a set of commutation relations canonically associated to it by presenting some characterization theorems for the symmetry and factorizability of a probability measure on R-d in terms of the canonically associated interacting creation, annihilation and number operators.

引用

页码：485 / 505

页数：21

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[No title captured]

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