The TRR 181 seminar is held by Anna Paola Todino (University of Milano Bicocca) on December 8, Bundesstr. 53 20146 Hamburg, room 22/23.

Flexible-bandwidth wavelet-type transforms

Abstract

In this talk we investigate 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 un-correlation properties (in the high-frequency sense) under broader assumptions than typically considered in the literature. Due to the good localization property in the pixel spaces, needlets have been widely applied to the research of Cosmic Microwave Background.