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Local theorems for Euclidean motions. I

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Publication:3862769
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DOI10.1007/BF00533814zbMath0427.60010MaRDI QIDQ3862769

Valeri M. Maksimov

Publication date: 1980

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


zbMATH Keywords

central limit theoremEsseen's inequalitylocal theoremgroup of Euclidean motion


Mathematics Subject Classification ID

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


Related Items (2)

Convergence of iterates of averages of certain operator representations and of convolution powers ⋮ Random walks in Euclidean space



Cites Work

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  • The central limit theorem for random motions of d-dimensional Euclidean space
  • A Local Limit Theorem for Nonlattice Multi-Dimensional Distribution Functions
  • A Local Limit Theorem
  • Ratio Limit Theorems for Random Walks on Groups
  • On the concentration function of a sum of independent random variables


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