Invariant spaces and algebras of functions on the Heisenberg group (Q1096854)

Let \(C_ 0(H^ n)\) be the algebra of all \({\mathbb{C}}\)-valued continuous functions on the Heisenberg group \(H^ n\) which vanish at infinity. A classification of some kind of translation-invariant closed subalgebras of \(C_ 0(H^ n)\) with approximate identity and with dense subset of integrable functions is given in the paper under review. The Möbius function algebras on the sphere are considered as application.