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Showing 2001 · math.RTShow all
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math.RT2001★ 10 cited
The problem of harmonic analysis on the infinite-dimensional unitary group
Grigori Olshanski
The goal of harmonic analysis on a (noncommutative) group is to decompose the most `natural' unitary representations of this group (like the regular representation) on irreducible…
math.RT2001★ 9 cited
Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes
Alexei Borodin, Grigori Olshanski
The infinite-dimensional unitary group U(infinity) is the inductive limit of growing compact unitary groups U(N). In this paper we solve a problem of harmonic analysis on U(infinit…