Journal
ADVANCES IN COMPUTATIONAL MATHEMATICS
Volume 37, Issue 3, Pages 379-392Publisher
SPRINGER
DOI: 10.1007/s10444-011-9214-3
Keywords
Rotation group SO(3); Sphere S-3; Quaternions; Scattered data; Sampling sets; Quadrature formulae; Marcinkiewicz-Zygmund inequalities
Categories
Funding
- German Research Foundation [PO 711/9-2]
Ask authors/readers for more resources
In this paper we use the connection between the rotation group SO(3) and the three-dimensional Euclidean sphere in order to carry over results on the sphere directly to the rotation group SO(3) and vice versa. More precisely, these results connect properties of sampling sets and quadrature formulae on SO(3) and respectively. Furthermore we relate Marcinkiewicz-Zygmund inequalities and conditions for the existence of positive quadrature formulae on the rotation group SO(3) to those on the sphere , respectively.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
