|
This article is cited in 9 scientific papers (total in 9 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
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
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
Linking options:
https://www.mathnet.ru/eng/faa3091https://doi.org/10.4213/faa3091 https://www.mathnet.ru/eng/faa/v46/i4/p31
|
Statistics & downloads: |
Abstract page: | 796 | Full-text PDF : | 325 | References: | 78 | First page: | 51 |
|