Local limit theorems on some non unimodular groups

• Autores: Marc Peigné, Emile Le Page
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 15, Nº 1, 1999, págs. 117-141
• Idioma: inglés
• Títulos paralelos:
  • Teoremas de límite local en algunos grupos no unimodulares.
• Enlaces
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• Resumen

  • 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) Î ]0,1] such that the sequence of finite measures {(n(N+3)/2 / ?(µ)n) µ*n}n = 1 converges weakly to a non-degenerate measure.