Characterization of probability measures through the canonically associated interacting Fock spaces

被引：37
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.
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页码：485 / 505
页数：21
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