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 …

This review is devoted to recent developments in the statistical analysis of spherical data,
strongly motivated by applications in cosmology. We start from a brief discussion of …

In the last decade, methods based on various kinds of spherical wavelet bases have found
applications in virtually all areas where analysis of spherical data is required, including …

Let M be a smooth compact oriented Riemannian manifold, and let Δ M be the Laplace–
Beltrami operator on M. Say 0 ≠ f ∈ S (R^+), and that f (0)= 0. For t> 0, let K t (x, y) denote …

Scale-discretised wavelets yield a directional wavelet framework on the sphere where a
signal can be probed not only in scale and position but also in orientation. Furthermore, a …

In recent years, a rapidly growing literature has focussed on the construction of wavelet
systems to analyze functions defined on the sphere. Our purpose in this paper is to …

This paper gives a survey of methods for the construction of space–frequency concentrated
frames on Riemannian manifolds with bounded curvature, and the applications of these …

Multiple testing of local maxima for detection of peaks on the (celestial) sphere Page 1
Bernoulli 26(1), 2020, 31–60 https://doi.org/10.3150/18-BEJ1068 Multiple testing of local …

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