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 betadistributions that appear in the Selberg integral.

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