194 citations · 351 across the 6 of their papers we have counts for
7 papers
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…
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…
Spherical Needlets for CMB Data Analysis
D. Marinucci, D. Pietrobon, A. Balbi +6
We discuss Spherical Needlets and their properties. Needlets are a form of spherical wavelets which do not rely on any kind of tangent plane approximation and enjoy good localizati…
Subsampling needlet coefficients on the sphere
P. Baldi, G. Kerkyacharian, D. Marinucci +1
In a recent paper, we analyzed the properties of a new kind of spherical wavelets (called needlets) for statistical inference procedures on spherical random fields; the investigati…
High Frequency Asymptotics for Wavelet-Based Tests for Gaussianity and Isotropy on the Torus
Paolo Baldi, Gérard Kerkyacharian, Domenico Marinucci +1
We prove a CLT for skewness and kurtosis of the wavelets coefficients of a stationary field on the torus. The results are in the framework of the fixed-domain asymptotics, i.e. we…
Asymptotics for spherical needlets
P. Baldi, G. Kerkyacharian, D. Marinucci +1
We investigate invariant random fields on the sphere using a new type of spherical wavelets, called needlets. These are compactly supported in frequency and enjoy excellent localiz…