194 citations · 496 across the 24 of their papers we have counts for
4 papers · 1 filter
Spin Needlets for Cosmic Microwave Background Polarization Data Analysis
Daryl Geller, Frode K. Hansen, Domenico Marinucci +2
Scalar wavelets have been used extensively in the analysis of Cosmic Microwave Background (CMB) temperature maps. Spin needlets are a new form of (spin) wavelets which were introdu…
Inversion of noisy Radon transform by SVD based needlet
Gérard Kerkyacharian, George Kyriazis, Erwan Le Pennec +2
A linear method for inverting noisy observations of the Radon transform is developed based on decomposition systems (needlets) with rapidly decaying elements induced by the Radon t…
Adaptive density estimation for directional data using needlets
P. Baldi, G. Kerkyacharian, D. Marinucci +1
This paper is concerned with density estimation of directional data on the sphere. We introduce a procedure based on thresholding on a new type of spherical wavelets called {\it ne…
Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions
G. Kerkyacharian, P. Petrushev, D. Picard +1
A pair of dual frames with almost exponentially localized elements (needlets) are constructed on $\RR_+^d$ based on Laguerre functions. It is shown that the Triebel-Lizorkin and Be…