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Iterates of a Berezin-type transform
Authors:Congwen Liu
Affiliation:School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, PR China
Abstract:Let B be the open unit ball of Rn and dV denote the Lebesgue measure on Rn normalized so that the measure of B equals 1. Suppose fL1(B,dV). The Berezin-type transform of f is defined by
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Keywords:Berezin-type transform    bius transformations   Infinite iteration   Poisson extension
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