A general Choquet–Deny theorem for nilpotent groups |
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Authors: | Albert Raugi |
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Institution: | IRMAR, université de Rennes I, campus de Beaulieu, 35042, Rennes cedex, France |
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Abstract: | Let G be a locally compact second countable nilpotent group. Let μ be a probability measure on the Borel sets of G. We prove that any bounded continuous function h on G solution of the convolution equation verifies h(gx)=h(g) for all (g,x)G×suppμ. |
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Keywords: | Random walk Harmonic functions |
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