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.

引用

页码：660 / 672

页数：13

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