Abstract:
The goal of harmonic analysis on the infinite-dimensional unitary-symplectic group is to decompose a certain family of unitary representations of this group that replace the nonexisting regular representation and depend on a complex parameter. The aim of the present paper is to describe the decomposition for an integer parameter.
Key words and phrases:noncommutative harmonic analysis, characters, spectral measures, multidimensional Jacobi polynomials.
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