Мақаланы E-mail арқылы жіберу Equivalence of the Brownian and Energy Representations
- Авторлар: Albeverio S.1, Driver B.K.2, Gordina M.3, Vershik A.M.4
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Мекемелер:
- 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
- Шығарылым: Том 219, № 5 (2016)
- Беттер: 612-630
- Бөлім: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238641
- DOI: https://doi.org/10.1007/s10958-016-3134-1
- ID: 238641
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Аннотация
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.
Авторлар туралы
S. Albeverio
Rheinische Friedrich-Wilhelms-Universit¨at
Хат алмасуға жауапты Автор.
Email: albeverio@iam.uni-bonn.de
Германия, Bonn
B. Driver
University of California
Email: albeverio@iam.uni-bonn.de
АҚШ, La Jolla, San Diego
M. Gordina
University of Connecticut
Email: albeverio@iam.uni-bonn.de
АҚШ, 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
Ресей, St.Petersburg
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