ON THE LEVY-KHINCHIN FORMULA IN NONCOMMUTATIVE PROBABILITY-THEORY

被引：1
|
作者：
KHOLEVO, AS [1 ]
机构：
[1] VA STEKLOV MATH INST,MOSCOW 117966,RUSSIA
来源：
THEORY OF PROBABILITY AND ITS APPLICATIONS | 1994年 / 38卷 / 04期
关键词：
CONVOLUTION SEMIGROUP; INSTRUMENT; QUASI-CHARACTERISTIC FUNCTION;
D O I：
10.1137/1138066
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
An important role in modern statistical quantum measurement theory is played by measures that assume values in a noncommutative algebra of transformations. This paper investigates convolution semigroups of such measures arising in connection with measurement processes that proceed continuously in time. The principal result is a noncommutative generalization of the Levy Khinchin formula, which describes the structure of the convolution semigroups in terms of their Fourier transforms.
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页码：660 / 672
页数：13
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