Showing math.CAShow all
3 papers · 1 filter
math.CA2022
Riesz and Green energy on projective spaces
Austin Anderson, Maria Dostert, Peter J. Grabner +2
In this paper we study Riesz, Green and logarithmic energy on two-point homogeneous spaces. More precisely we consider the real, the complex, the quaternionic and the Cayley projec…
math.CA2018
Comparison of probabilistic and deterministic point sets
Peter Grabner, Tetiana Stepanyuk
In this paper we make a comparison between certain probabilistic and deterministic point sets and show that some deterministic constructions (spherical -designs) are better or a…
math.CA2017
A Note on Some Approximation Kernels on the Sphere
Peter J. Grabner
We produce precise estimates for the Kogbetliantz kernel for the approximation of functions on the sphere. Furthermore, we propose and study a new approximation kernel, which has s…