Calculus of Generalized Riesz Products

2013/07/24 by Abdalaoui, e. H. el, Nadkarni, M. G. · 1 citation
#37A30 #37A40 #42A55 #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Primary 37A05 #Secondary 42A05 #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1307.6513

Abstract

In this paper we discuss generalized Riesz products bringing into consideration H^p 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.

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• A generalization of Littlewood's L^α flat theorem, α>0

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