Enviar artigo por via de e-mail Equivalence of the Brownian and Energy Representations
- Autores: Albeverio S.1, Driver B.K.2, Gordina M.3, Vershik A.M.4
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Afiliações:
- 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
- Edição: Volume 219, Nº 5 (2016)
- Páginas: 612-630
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238641
- DOI: https://doi.org/10.1007/s10958-016-3134-1
- ID: 238641
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Resumo
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.
Sobre autores
S. Albeverio
Rheinische Friedrich-Wilhelms-Universit¨at
Autor responsável pela correspondência
Email: albeverio@iam.uni-bonn.de
Alemanha, Bonn
B. Driver
University of California
Email: albeverio@iam.uni-bonn.de
Estados Unidos da América, La Jolla, San Diego
M. Gordina
University of Connecticut
Email: albeverio@iam.uni-bonn.de
Estados Unidos da América, 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
Rússia, St.Petersburg
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