This book is written as an introduction to analysis on the sphere and on the ball, and it
provides a cohesive account of recent developments in approximation theory and harmonic …

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 …

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 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 …

In this paper we wish to present a new class of tight frames on the sphere. These frames
have excellent pointwise localization and approximation properties. These properties are …

Classical and nonclassical Besov and Triebel-Lizorkin spaces with complete range of
indices are developed in the general setting of Dirichlet space with a doubling measure and …

Wavelet bases and frames consisting of band limited functions of nearly exponential
localization on ℝ d are a powerful tool in harmonic analysis by making various spaces of …

Anisotropic homogeneous mixed-norm Besov and Triebel–Lizorkin spaces are introduced
and their properties are explored. A discrete adapted φ-transform decomposition is …

This paper considers random coefficients binary choice models. The main goal is to estimate
the density of the random coefficients nonparametrically. This is an ill‐posed inverse …

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 …