We present the current accounting of systematic effect uncertainties for the Low Frequency
Instrument (LFI) that are relevant to the 2015 release of the Planck cosmological results …

This book presents the state of the art in sparse and multiscale image and signal processing,
covering linear multiscale transforms, such as wavelet, ridgelet, or curvelet transforms, and …

We test the statistical isotropy and Gaussianity of the cosmic microwave background (CMB)
anisotropies using observations made by the Planck satellite. Our results are based mainly …

Random Fields on the Sphere presents a comprehensive analysis of isotropic spherical
random fields. The main emphasis is on tools from harmonic analysis, beginning with the …

The Planck nominal mission cosmic microwave background (CMB) maps yield
unprecedented constraints on primordial non-Gaussianity (NG). Using three optimal …

In the last few decades, advances in observational cosmology have given us a standard
model of cosmology. We know the content of the universe to within a few percent. With more …

The report of a significant deviation of the CMB temperature anisotropies distribution from
Gaussianity (soon after the public release of the WMAP data in 2003) has become one of the …

This thoroughly updated new edition presents state of the art sparse and multiscale image
and signal processing. It covers linear multiscale geometric transforms, such as wavelet …

Using the fact that the comoving angular diameter distance to the last scattering surface is
strictly constrained almost model independently, we show that, for any model agreeing with …

A new formalism is derived for the analysis and exact reconstruction of band-limited signals
on the sphere with directional wavelets. It represents an evolution of a previously developed …