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Funktsional'nyi Analiz i ego Prilozheniya, 2012, Volume 46, Issue 4, Pages 31–50
DOI: https://doi.org/10.4213/faa3091 (Mi faa3091) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Multivariate Jacobi Polynomials and the Selberg Integral

G. I. Olshanskiiabc, A. A. Osinenkod

a Independent University of Moscow
b A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow
c National Research University "Higher School of Economics"
d M. V. Lomonosov Moscow State University
Full-text PDF (250 kB) Citations (10)
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DOI: https://doi.org/10.4213/faa3091
Abstract: This work is motivated by the problem of harmonic analysis on “big” groups and can be viewed as a continuation of the first author's paper in Functional Anal. Appl. 37 (2003), no. 4, 281–301. Our main result is the proof of the existence of a family of probability distributions with infinite-dimensional support; these distributions are analogs of multidimensional Euler beta-distributions that appear in the Selberg integral.
Keywords: multivariate Jacobi polynomials, Selberg integral, branching graphs.
Received: 13.01.2012
English version:
Functional Analysis and Its Applications, 2012, Volume 46, Issue 4, Pages 262–278
DOI: https://doi.org/10.1007/s10688-012-0034-0
Bibliographic databases:
Document Type: Article
UDC: 517.587
Language: Russian
Citation: G. I. Olshanskii, A. A. Osinenko, “Multivariate Jacobi Polynomials and the Selberg Integral”, Funktsional. Anal. i Prilozhen., 46:4 (2012), 31–50; Funct. Anal. Appl., 46:4 (2012), 262–278
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
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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