Maximal ideal space for classical domains
The maximal ideal space for commutative algebras of integrable functions on the Silov boundary of classical generalized half-planes, which are invariant under the action of particular ``rotation groups'', is determined by realizing suitable decomposition of the representation spaces.
Silov boundary, Gelfand transform, representation Fock space, Siegel domain, Gelfand pair, maximal ideal space, Gelfand pair, Siegel domains of type II, rotation groups, Gelfand pair; Gelfand transform; Representation fock space; Šilov boundary; Siegel domains of type II;, \(L^1\)-algebras on groups, semigroups, etc.
Silov boundary, Gelfand transform, representation Fock space, Siegel domain, Gelfand pair, maximal ideal space, Gelfand pair, Siegel domains of type II, rotation groups, Gelfand pair; Gelfand transform; Representation fock space; Šilov boundary; Siegel domains of type II;, \(L^1\)-algebras on groups, semigroups, etc.
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