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Funktsional'nyi Analiz i ego Prilozheniya, 2005, Volume 39, Issue 2, Pages 1–12
DOI: https://doi.org/10.4213/faa36 (Mi faa36) 		 
This article is cited in 8 scientific papers (total in 10 papers)

A Commutative Model of a Representation of the Group $O(n,1)^X$ and a Generalized Lebesgue Measure in the Space of Distributions

A. M. Vershikab, M. I. Graevc

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b International Erwin Schrödinger Institute for Mathematical Physics
c Scientific Research Institute for System Studies of RAS
Full-text PDF (222 kB) Citations (10)
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DOI: https://doi.org/10.4213/faa36
Abstract: For an irreducible unitary representation of an $O(n,1)$ current group, we consider a commutative model obtained by diagonalization with respect to a maximal unipotent subgroup. This model leads to a new measure on the space of distributions. The measure is invariant with respect to an infinite-dimensional linear symmetry group.
Keywords: current group, orthogonal group, basic representation, commutative model.
Received: 17.01.2005
English version:
Functional Analysis and Its Applications, 2005, Volume 39, Issue 2, Pages 81–90
DOI: https://doi.org/10.1007/s10688-005-0021-9
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A. M. Vershik, M. I. Graev, “A Commutative Model of a Representation of the Group $O(n,1)^X$ and a Generalized Lebesgue Measure in the Space of Distributions”, Funktsional. Anal. i Prilozhen., 39:2 (2005), 1–12; Funct. Anal. Appl., 39:2 (2005), 81–90
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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