Integral models of representations of current groups

被引：3

作者：

Vershik, A. M. ^{[1
]}

Graev, M. I. ^{[2
]}

机构：

[1] VA Steklov Math Inst, St Petersburg Dept, Moscow 117333, Russia

[2] Inst Syst Studies, Moscow, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2008年 / 42卷 / 01期

关键词：

current group; summable representation; integral of tensor products;

D O I：

10.1007/s10688-008-0002-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We suggest a new construction of nonlocal representations of the current group. Instead of the Fock space, which is usually used in this situation, we consider the direct integral of countable tensor products of representations over the trajectories of some stochastic process. The construction substantially uses the invariance of the so-called infinite-dimensional Lebesgue measure.

引用

页码：19 / 27

页数：9

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