3 papers
math.CA2026
Isotropic Positive Definite Functions on Spheres
Han Feng, Yan Ge
In this paper, we investigate the relationship between positive definite functions on the unit sphere $\sph$ and on the Euclidean space $\RR^d$. For the dimension to be odd, a…
math.CA2017
Chebyshev-type cubature formulas for doubling weights on spheres, balls and simplexes
Feng Dai, Han Feng
This paper proves that given a doubling weight on the unit sphere of , there exists a positive constant such that for each positive integ…
math.CA2015
Uncertainty Principles on weighted spheres, balls and simplexes
Han Feng
This paper studies the uncertainty principle for spherical -harmonic expansions on the unit sphere of associated with a weight function invariant under a general…