Claudio Durastanti, Domenico Marinucci, Anna Paola Todino
Published 2021-09-13Version 1
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 multipole (frequency) space to vary in more general forms than in the standard constructions. We study the analytic properties of this system and we investigate its behaviour when applied to isotropic random fields: more precisely, we establish asymptotic localization and uncorrelation properties (in the high-frequency sense) under broader assumptions than typically considered in the literature.
Spectral Expansions of Homogeneous and Isotropic Tensor-Valued Random Fields
Limit theorems for weighted functionals of cyclical long-range dependent random fields
Multilevel Representations of Isotropic Gaussian Random Fields on the Sphere
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