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math.PR2024
Aliasing Effects for Samples of Spin Random Fields on the Sphere
Claudio Durastanti
This paper investigates aliasing effects emerging from the reconstruction from discrete samples of spin spherical random fields defined on the two-dimensional sphere. We determine…
math.PR2021
Flexible-bandwidth Needlets
Claudio Durastanti, Domenico Marinucci, Anna Paola Todino
We investigate here a generalized construction of spherical wavelets/needlets which admits extra-flexibility in the harmonic domain, i.e., it allows the corresponding support in mu…
math.PR2016
On normal approximations for the two-sample problem on multidimensional tori
Solesne Bourguin, Claudio Durastanti
In this paper, quantitative central limit theorems for -statistics on the -dimensional torus defined in the framework of the two-sample problem for Poisson processes are deri…