Infinite product representations for kernels and iterations of functions
Functional Analysis
2013-01-22 v1
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 in one complex variable, and its iterations.
Cite
@article{arxiv.1301.4626,
title = {Infinite product representations for kernels and iterations of functions},
author = {D. Alpay and P. Jorgensen and I. Lewkowicz and I. Martziano},
journal= {arXiv preprint arXiv:1301.4626},
year = {2013}
}