BOOLEAN MULTIPLICATIVE CONVOLUTION AND CAUCHY-STIELTJES KERNEL FAMILIES

DOI10.4134/BKMS.b200380zbMath1478.46060OpenAlexW3150198073MaRDI QIDQ4991398

Raouf Fakhfakh

Publication date: 3 June 2021

Full work available at URL: https://koreascience.or.kr:443/article/JAKO202112354514170.pdf

zbMATH Keywords

variance functionCauchy-Stieltjes kernelBoolean multiplicative convolution

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)

Related Items (3)

A survey on the effects of free and Boolean convolutions on Cauchy-Stieltjes kernel families ⋮ On polynomials associated with Cauchy–Stieltjes kernel families ⋮ A characterization of the Marchenko-Pastur probability measure

Cites Work

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• On Cauchy-Stieltjes kernel families
• Local limit theorems for multiplicative free convolutions
• One-sided Cauchy-Stieltjes kernel families
• Stable laws and domains of attraction in free probability theory
• Characterization of quadratic Cauchy-Stieltjes kernel families based on the orthogonality of polynomials
• The mean of the reciprocal in a Cauchy-Stieltjes family
• Variance function of Boolean additive convolution
• FREE EXPONENTIAL FAMILIES AS KERNEL FAMILIES
• On a remarkable semigroup of homomorphisms with respect to free multiplicative convolution
• New limit theorems related to free multiplicative convolution
• Semigroups related to additive and multiplicative, free and Boolean convolutions
• Cauchy–Stieltjes families with polynomial variance functions and generalized orthogonality

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