On <inline-formula> <mml:math id="mm3333" display="block"> <mml:semantics> <mml:mi mathvariant="double-struck">Z</mml:mi> </mml:sema... by Aitor Balmaseda, Fabio Di Cosmo, Juan Manuel Pérez-Pardo

“…A study of the different unitary representations of the group <inline-formula> <math display="inline"> <semantics> <mi mathvariant="double-struck">Z</mi> </semantics> </math> </inline-formula> on the space of square integrable functions on <inline-formula> <math display="inline"> <semantics> <mo>&#937;</mo> </semantics> </math> </inline-formula> is performed and the corresponding <inline-formula> <math display="inline"> <semantics> <mi mathvariant="double-struck">Z</mi> </semantics> </math> </inline-formula>-invariant self-adjoint extensions of the Laplace&#8722;Beltrami operator are introduced. …”
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A quantization of the harmonic analysis on the infinite-dimensional unitary group by Gorin, Vadim, Olshanski, Grigori

“…That problem consisted in the decomposition of a certain 4-parameter family of unitary representations, which replace the nonexisting two-sided regular representation (Olshanski [31]). …”
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