Geodesic
Multivariate Jacobi Polynomials and the Selberg Integral
Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 4, pp. 31-50

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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. 
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G. I. Olshanskii; A. A. Osinenko. Multivariate Jacobi Polynomials and the Selberg Integral. Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 4, pp. 31-50. http://geodesic.mathdoc.fr/item/FAA_2012_46_4_a2/