Numerical Harmonic Analysis and Diffusions on the 3D-Motion Group

摘要: Representation theory and harmonic analysis on the group of proper motions in three-dimensional Euclidean space has been applied a variety areas ranging from robotics to DNA statistical mechanics. This can be used implement noncommutative convolutions analytically numerically, as well solve diffusion equations over this group. chapter presents brief review together with an emphasis applications involving diffusions convolutions. Since representations noncompact are infinite dimensional, quantification numerical truncation errors is also addressed.