3 papers
math.CA2024
Positive definite singular kernels on two-point homogeneous spaces
Dmitriy Bilyk, Peter Grabner
We study positive definiteness of kernels on two-point homogeneous spaces. As opposed to the classical case, which has been developed and studied in the existing literatur…
math.NA2022
Needlets Liberated
Johann S. Brauchart, Peter J. Grabner, Ian H. Sloan +1
Spherical needlets were introduced by Narcowich, Petrushev, and Ward to provide a multiresolution sequence of polynomial approximations to functions on the sphere. The needlet cons…
math.CA2016
On the asymptotic behaviour of the zeros of solutions of one functional-differential equation with rescaling
Gregory Derfel, Peter J. Grabner, Robert F. Tichy
We study the asymptotic behaviour of the solutions of a functional- differential equation with rescaling, the so-called pantograph equation. From this we derive asymptotic informat…