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math.PR2012★ 3 cited
Mean-Square Continuity on Homogeneous Spaces of Compact Groups
Domenico Marinucci, Giovanni Peccati
We show that any finite-variance, isotropic random field on a compact group is necessarily mean-square continuous, under standard measurability assumptions. The result extends to i…
math.PR2012
Normal Approximations for Wavelet Coefficients on Spherical Poisson Fields
Claudio Durastanti, Domenico Marinucci, Giovanni Peccati
We compute explicit upper bounds on the distance between the law of a multivariate Gaussian distribution and the joint law of wavelets/needlets coefficients based on a homogeneous…