209 citations · 1.2k across the 68 of their papers we have counts for
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math.RT2015
A quantization of the harmonic analysis on the infinite-dimensional unitary group
Vadim Gorin, Grigori Olshanski
The present work stemmed from the study of the problem of harmonic analysis on the infinite-dimensional unitary group U(\infty). That problem consisted in the decomposition of a ce…
math.RT2015
The representation ring of the unitary groups and Markov processes of algebraic origin
Grigori Olshanski
The paper consists of two parts. The first part introduces the representation ring for the family of compact unitary groups U(1), U(2),.... This novel object is a commutative grade…