Calculus of Generalized Riesz Products
Dynamical Systems
2013-11-14 v3 Complex Variables
Spectral Theory
Abstract
In this paper we discuss generalized Riesz products bringing into consideration theory, the notion of Mahler measure, and the zeros of polynomials appearing in the generalized Riesz product. Formula for Radon-Nikodym derivative between two generalized Riesz product is established under suitable conditions. This is then used to formulate a Dichotomy theorem and prove a conditional version of it. A discussion involving flat polynomials is given.
Keywords
Cite
@article{arxiv.1307.6513,
title = {Calculus of Generalized Riesz Products},
author = {e. H. el Abdalaoui and M. G. Nadkarni},
journal= {arXiv preprint arXiv:1307.6513},
year = {2013}
}
Comments
30 pages, accepted for publication