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math.FA2008★ 1 cited
Gelfand transforms of SO(3)-invariant Schwartz functions on the free group N_{3,2}
Veronique Fischer, Fulvio Ricci
The spectrum of a Gelfand pair , where is a nilpotent group, can be embedded in a Euclidean space. We prove that in general, the Schwartz functions on the spec…
math.FA2008
Gelfand pairs on the Heisenberg group and Schwartz functions
Francesca Astengo, Bianca Di Blasio, Fulvio Ricci
Let $\Hn$ be the -dimensional Heisenberg group and a compact group of automorphisms of $\Hn$ such that $(K\ltimes \Hn,K)$ is a Gelfand pair. We prove that the Gelfand t…