Maximal ideal space for classical domains (Q1366749)

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scientific article; zbMATH DE number 1061849
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Maximal ideal space for classical domains
scientific article; zbMATH DE number 1061849

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    Maximal ideal space for classical domains (English)
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    9 November 1997
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    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.
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    Siegel domains of type II
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    Silov boundary
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    Gelfand pair
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    Gelfand transform
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    representation Fock space
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    rotation groups
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