Quantitative central limit theorems for Mexican needlet coefficients on circular Poisson fields

Abstract

The aim of this paper is to establish rates of convergence to Gaussianity for wavelet coefficients on circular Poisson random fields. This result is established by using the Stein-Malliavin techniques introduced by Peccati and Zheng (2011) and the concentration properties of so-called Mexican needlets on the circle

26 pages, 4 figures