Open AccessLocal limit theorems on some non unimodular groups
Author(s) -
Émile Le Page,
Marc Peigné
Publication year - 1999
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/252
Subject(s) - unimodular matrix , limit (mathematics) , mathematics , pure mathematics , combinatorics , mathematical analysis
Let Gd be the semi-direct product of R*+ and Rd, d = 1 and let us consider the product group Gd,N = Gd x RN, N = 1. For a large class of probability measures µ on Gd,N, one prove that there exists ?(µ) I ]0,1] such that the sequence of finite measures{(n(N+3)/2 / ?(µ)n) µ*n}n = 1converges weakly to a non-degenerate measure.
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