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Type: Artigo de periódico
Title: Poisson spaces for proper semigroups of semi-simple lie groups
Author: Lopez, JN
Ruffino, PRC
Martin, LABS
Abstract: Let. be a probability measure on a semi-simple Lie group G with finite center. Under the hypothesis that the semigroup S generated by. has non-empty interior, we identify the Poisson space Pi = G/M(v)AN, where bounded (l. u. c.).-harmonic functions in G have a one-to-one correspondence with measurable (continuous) functions in Pi. This paper extends a classical result (see Furstenberg [7], Azencott [1] and others), where the semigroup generated by. was assumed to be the whole (connected) group. We present two detailed examples.
Subject: semi-simple Lie groups
Poisson space
invariant control sets
Country: Singapura
Editor: World Scientific Publ Co Pte Ltd
Rights: fechado
Identifier DOI: 10.1142/S0219493707002037
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

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