We investigate here a generalized construction of spherical wavelets/needlets which admits extra-flexibility in the harmonic space, 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.

Durastanti, C., Marinucci, D., Todino, A. (In corso di stampa). Flexible-bandwidth Needlets. BERNOULLI.

Flexible-bandwidth Needlets

Anna Paola Todino
In corso di stampa

Abstract

We investigate here a generalized construction of spherical wavelets/needlets which admits extra-flexibility in the harmonic space, 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.
Articolo in rivista - Articolo scientifico
Spherical wavelets; needlets; spherical random fields; high-frequency asymptotics;
English
Durastanti, C., Marinucci, D., Todino, A. (In corso di stampa). Flexible-bandwidth Needlets. BERNOULLI.
Durastanti, C; Marinucci, D; Todino, A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/376758
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