We generalize the definition of convolution of vectors and tensors on the 2-sphere, and
prove that it commutes with differential operators. Moreover, vectors and tensors that are …

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 …

In this paper, we are concerned with n-dimensional spherical wavelets derived from the
theory of approximate identities. For nonzonal bilinear wavelets introduced by Ebert et al. in …

Abstract Analysis on the unit sphere S^ 2 S 2 found many applications in seismology,
weather prediction, astrophysics, signal analysis, crystallography, computer vision …

We explain the basic ideas behind the concept of diffusive wavelets on spheres in the
language of representation theory of Lie groups and within the framework of the group …

In this paper, Poisson wavelets on n n-dimensional spheres, derived from Poisson kernel,
are introduced and characterized. We compute their Gegenbauer expansion with respect to …

The problem of multiscale representation and analysis of data defined on manifolds is
ubiquitous in neuroscience, biology, medical diagnostics, and a number of other fields. This …

Directional Poisson wavelets, being directional derivatives of Poisson kernel, are introduced
on n-dimensional spheres. It is shown that, slightly modified and together with another …

Abstract The Radon transform Rf of functions f on SO (3) has recently been applied
extensively in texture analysis, ie the analysis of preferred crystallographic orientation. In …

Analysis on the unit sphere $\mathbb {S}^{2} $ found many applications in seismology,
weather prediction, astrophysics, signal analysis, crystallography, computer vision …