Mean anisotropy of homogeneous Gaussian random fields and anisotropic norms of linear translation-invariant operators on multidimensional integer lattices (Q1885407)

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scientific article; zbMATH DE number 2111796
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Mean anisotropy of homogeneous Gaussian random fields and anisotropic norms of linear translation-invariant operators on multidimensional integer lattices
scientific article; zbMATH DE number 2111796

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    Mean anisotropy of homogeneous Gaussian random fields and anisotropic norms of linear translation-invariant operators on multidimensional integer lattices (English)
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    28 October 2004
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    The paper is devoted to systematic comparison of the anisotropic functionals and anisotropic norms. These are considered for unboundedly growing fragments of homogeneous Gaussian random fields on multidimensional integer lattice to yield mean anisotropy. Also, the anisotropic norms of finite matrices are extended to bounded linear translation invariant operators over such fields.
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    Gaussian random field
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    Kullback-Leibler informational divergence
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    mean anisotropy
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    anisotropic norm
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