97 citations · 163 across the 13 of their papers we have counts for
4 papers · 1 filter
Needlet approximation for isotropic random fields on the sphere
Quoc T. Le Gia, Ian H. Sloan, Yu Guang Wang +1
In this paper we establish a multiscale approximation for random fields on the sphere using spherical needlets --- a class of spherical wavelets. We prove that the semidiscrete nee…
Random Point Sets on the Sphere --- Hole Radii, Covering, and Separation
Johann S. Brauchart, Alexander B. Reznikov, Edward B. Saff +3
Geometric properties of random points distributed independently and uniformly on the unit sphere with respect to surface area measure ar…
Riemann localisation on the sphere
Yu Guang Wang, Ian H. Sloan, Robert S. Womersley
This paper first shows that the Riemann localisation property holds for the Fourier-Laplace series partial sum for sufficiently smooth functions on the two-dimensional sphere, but…
Fully discrete needlet approximation on the sphere
Yu Guang Wang, Quoc T. Le Gia, Ian H. Sloan +1
Spherical needlets are highly localized radial polynomials on the sphere , , with centers at the nodes of a suitable cubature rule.…