Cauchy-Stieltjes kernel families and free multiplicative convolution (Q6640986)
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scientific article; zbMATH DE number 7946969
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cauchy-Stieltjes kernel families and free multiplicative convolution |
scientific article; zbMATH DE number 7946969 |
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Cauchy-Stieltjes kernel families and free multiplicative convolution (English)
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20 November 2024
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The article continues the research in the theory of Cauchy-Stieltjes kernel (CSK) families based on the kernel\N\[\N1/(1 - \theta x).\N\]\NThe authors determine the effect of the free multiplicative convolution on the pseudo-variance function of a CSK family. They use the machinery of variance functions to establish some limit theorems related to this type of convolution and involving the free additive convolution and the Boolean additive convolution.
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Cauchy-Stieltjes kernel
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free multiplicative convolution
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variance function
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S-transform
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