We prove that the Gelfand transform is a topological isomorphism between the space of polyradial Schwartz functions on the Heisenberg group and the space of Schwartz functions on the Heisenberg brush. We obtain analogous results for radial Schwartz functions on Heisenberg type groups.

Gelfand transforms of polyradial functions on the Heisenberg group

RICCI, Fulvio
2007

Abstract

We prove that the Gelfand transform is a topological isomorphism between the space of polyradial Schwartz functions on the Heisenberg group and the space of Schwartz functions on the Heisenberg brush. We obtain analogous results for radial Schwartz functions on Heisenberg type groups.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/4225
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