On symmetric stochastic convolutions

DOI10.1007/BF01060427zbMath0760.60011OpenAlexW2036188674MaRDI QIDQ1194468

V. Eh. Vol'kovich

Publication date: 27 September 1992

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01060427

zbMATH Keywords

probability measureshypergroupsconvolution structures

Mathematics Subject Classification ID

Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (11)

Lévy processes and stochastic integrals in the sense of generalized convolutions ⋮ On weak generalized stability of random variables via functional equations ⋮ Classical definitions of the Poisson process do not coincide in the case of generalized convolutions ⋮ Lévy process with substable increments via generalized convolution ⋮ On the connections between weakly stable and pseudo-isotropic distributions ⋮ Kendall random walk, Williamson transform, and the corresponding Wiener-Hopf factorization ⋮ Limit property for regular and Weak Generalized Convolution ⋮ Every symmetric weakly-stable random vector is pseudo-isotropic ⋮ Weak Lévy--Khintchine Representation for Weak Infinite Divisibility ⋮ On weak generalized stability and \((c,d)\)-pseudostable random variables via functional equations ⋮ Lévy processes with respect to the Whittaker convolution

Cites Work

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• Bochner theorems for hypergroups and their applications to orthogonal polynomial expansions
• Convolution semigroups of probability measures on Gelfand pairs
• Convolution structures for Laguerre polynomials
• The Laguerre Transform
• On the Category of Indecomposable Distributions on Topological Groups
• Generalized convolutions
• Factorization Theory and Domains of Attraction for Generalized Convolution Algebras

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