Moment sets and the unitary dual of a nilpotent Lie group.
Invariant theory for the orthogonal group via star products.
Spectra for Gelfand pairs associated with the Heisenberg group
Let K be a closed Lie subgroup of the unitary group U(n) acting by automorphisms on the (2n+1)-dimensional Heisenberg group . We say that is a Gelfand pair when the set of integrable K-invariant functions on is an abelian convolution algebra. In this case, the Gelfand space (or spectrum) for can be identified with the set of bounded K-spherical functions on . In this paper, we study the natural topology on given by uniform convergence on compact subsets in . We show that is a complete...
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