On shifted convolution powers of a probability measure

DOI10.1007/BF02571446zbMath0760.60009MaRDI QIDQ1204302

Peter Eisele

Publication date: 7 March 1993

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174459

zbMATH Keywords

locally compact groupconvolution powersweakly relatively shift compact sequence

Mathematics Subject Classification ID

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

Related Items

A note on the equation λ * ρ * μ = ρ ⋮ On convolution powers on semidirect products ⋮ Dissipation of convolution powers in a metric group ⋮ Distal actions and shifted convolution property ⋮ Krengel--Lin decomposition for probability measures on hypergroups. ⋮ The concentration function problem for locally compact groups revisited: nondissipating space-time random walks, \(\tau\)-decomposable laws, and their continuous time analogues ⋮ Classical theorems of probability on Gelfand pairs -- Khinchin's theorem and Cramér's theorem ⋮ Tortrat groups -- groups with a nice behavior for sequences of shifted convolution powers

Cites Work

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• Bemerkung über Faltungspotenzen eines Wahrscheinlichkeitsmaßes auf kompakten Gruppen
• Limit theorems for probability measures on non-compact groups and semi-groups
• More on limit theorems for iterates of probability measures on semigroups and groups
• On infinite products of random elements and infinite convolutions of probability distributions on locally compact groups

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