30 citations · 34 across the 3 of their papers we have counts for
6 papers
Sparse Isotropic Regularization for Spherical Harmonic Representations of Random Fields on the Sphere
Quoc T. Le Gia, Ian H. Sloan, Robert S. Womersley +1
This paper discusses sparse isotropic regularization for a random field on the unit sphere in , where the field is expanded in terms of a spherical h…
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.…
Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces
Johann S. Brauchart, Josef Dick, Edward B. Saff +3
We prove that the covering radius of an -point subset of the unit sphere is bounded above by a power of the worst-case error for equal weight cubatur…