A local limit theorem for the convolution of probability measures on a compact connected group

DOI10.1007/BF00533635zbMath0397.60021OpenAlexW2080507433MaRDI QIDQ4181021

Péter Major, Senya B. Shlosman

Publication date: 1979

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00533635

zbMATH Keywords

Local Limit TheoremCharacteristic Function TechniqueProbability Measures on a Compact Connected Group

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

A spectral radius formula for the Fourier transform on compact groups and applications to random walks ⋮ The influence of non-commutativity on limit theorems ⋮ Information functionals with applications to random walk and statistics ⋮ Generating a random permutation with random transpositions

Cites Work

• Speed of convergence of the n-fold convolution of a probability measure on a compact group
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