A quantization of the harmonic analysis on the infinite-dimensional unitary group

The present work stemmed from the study of the problem of harmonic analysis on the infinite-dimensional unitary group U(∞). That problem consisted in the decomposition of a certain 4-parameter family of unitary representations, which replace the nonexisting two-sided regular representation (Olshansk...

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Bibliographic Details
Main Authors: Gorin, Vadim, Olshanski, Grigori
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Elsevier 2018
Online Access:http://hdl.handle.net/1721.1/115885
https://orcid.org/0000-0002-9828-5862