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Supports of Gauss measures on semisimple Lie groups - MaRDI portal

Supports of Gauss measures on semisimple Lie groups (Q1906890)

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scientific article; zbMATH DE number 838467
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Supports of Gauss measures on semisimple Lie groups
scientific article; zbMATH DE number 838467

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    Supports of Gauss measures on semisimple Lie groups (English)
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    15 February 1996
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    We investigate the support behaviour of the Gaussian convolution semigroups, on a connected semisimple Lie group \(G\), whose carrier algebra is the subalgebra corresponding to the \(K\)-component of \(G\). Our main tool is the Siebert support formula, from which we obtain an explicit description of the supports in terms of inequalities involving certain real-valued functions on \(G\).
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    Gauss measures
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    semisimple Lie group
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    supports
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