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Infinite product representations for kernels and iterations of functions

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 نشر من قبل Daniel Alpay A
 تاريخ النشر 2013
  مجال البحث
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We study infinite products of reproducing kernels with view to their use in dynamics (of iterated function systems), in harmonic analysis, and in stochastic processes. On the way, we construct a new family of representations of the Cuntz relations. Then, using these representations we associate a fixed filled Julia set with a Hilbert space. This is based on analysis and conformal geometry of a fixed rational mapping $R$ in one complex variable, and its iterations.



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