电邮这篇文章 Equivalence of the Brownian and Energy Representations
- 作者: Albeverio S.1, Driver B.2, Gordina M.3, Vershik A.4
-
隶属关系:
- Rheinische Friedrich-Wilhelms-Universit¨at
- University of California
- University of Connecticut
- St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University, Institute of Problems of Transmission of Information
- 期: 卷 219, 编号 5 (2016)
- 页面: 612-630
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238641
- DOI: https://doi.org/10.1007/s10958-016-3134-1
- ID: 238641
如何引用文章
开放存取
##reader.subscriptionAccessGranted##
订阅存取
详细
We consider two unitary representations of infinite-dimensional groups of smooth paths with values in a compact Lie group. The first representation is induced by the quasi-invariance of the Wiener measure, and the second representation is the energy representation. We define these representations and their basic properties, and then we prove that these representations are unitarily equivalent. Bibliography: 28 titles.
作者简介
S. Albeverio
Rheinische Friedrich-Wilhelms-Universit¨at
编辑信件的主要联系方式.
Email: albeverio@iam.uni-bonn.de
德国, Bonn
B. Driver
University of California
Email: albeverio@iam.uni-bonn.de
美国, La Jolla, San Diego
M. Gordina
University of Connecticut
Email: albeverio@iam.uni-bonn.de
美国, Storrs
A. Vershik
St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University, Institute of Problems of Transmission of Information
Email: albeverio@iam.uni-bonn.de
俄罗斯联邦, St.Petersburg
