2 citations · 2 across the 2 of their papers we have counts for
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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…
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…
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…
Reverse Hölder's inequality for spherical harmonics
Feng Dai, Han Feng, Sergey Tikhonov
This paper determines the sharp asymptotic order of the following reverse Hölder inequality for spherical harmonics of degree on the unit sphere of $\m…