Local limit theorems on some non unimodular groups

Authors
Le Page, E Peigne, M
Citation
E. Le Page et M. Peigne, Local limit theorems on some non unimodular groups, REV MAT IBE, 15(1), 1999, pp. 117-141
Citations number
11
Categorie Soggetti
Mathematics
Journal title
REVISTA MATEMATICA IBEROAMERICANA
ISSN journal
02132230 → ACNP
Volume
15
Issue
1
Year of publication
1999
Pages
117 - 141
Database
ISI
SICI code
0213-2230(1999)15:1<117:LLTOSN>2.0.ZU;2-#
Abstract
Let Gd be the semi-direct product of R*(+) and R-d, d greater than or equal to 1 and let us consider the product group G(d,N) = G(d) x R-N, N greater than or equal to 1 For a large class of probability measures mu on G(d,N), One proves that there exists rho(mu) epsilon]0, 1] such that the sequence o f finite {n((N+3)/2)/rho(mu)(n) mu*(n)}(n greater than or equal to 1) measures converges weakly to a non-degenerate measure.