A bounded domain is an open connected bounded subset of a complex affine space.
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In dimensions at least 7 there are infinite families of homogeneous bounded domains that are not symmetric.
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Let \ Omega be a bounded domain in \ mathbb { R } ^ n satisfying the cone condition.
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The limit is uniform over " z " in an arbitrary bounded domain in the complex plane.
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If is a bounded domain in then the eigenfunctions of the Laplacian are an orthonormal basis for the Hilbert space.
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Examples where this construction can be used to define a compactification are bounded domains in the plane and symmetric spaces of non-compact type.
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In computer science, an "'x-fast trie "'is a data structure for storing integers from a bounded domain.
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In computer science, a "'y-fast trie "'is a data structure for storing integers from a bounded domain.
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�lie Cartan classified the homogeneous bounded domains in dimension at most 3 ( up to isomorphism ), showing that they are all Hermitian symmetric spaces.
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The converse is also true : any " j "-algebra is the Lie algebra of some transitive group of automorphisms of a homogeneous bounded domain.
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