@inbook{f7a1abb280324037b88a959a230e87a7,
title = "Infinite product representations for kernels and iterations of functions",
abstract = "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.",
keywords = "Cuntz algebras, Dynamical systems, Infinite products, Julia sets",
author = "Daniel Alpay and Palle Jorgensen and Izchak Lewkowicz and Itzik Martziano",
note = "Publisher Copyright: {\textcopyright} 2015 Springer International Publishing Switzerland.",
year = "2015",
month = jan,
day = "1",
doi = "10.1007/978-3-319-10335-8_5",
language = "English",
series = "Operator Theory: Advances and Applications",
publisher = "Springer International Publishing",
pages = "67--87",
booktitle = "Operator Theory",
}