Spherical analysis on homogeneous vector bundles of the 3-dimensional euclidean motion group

Rocío Díaz Martín, Fernando Levstein

We consider ${\mathbb{R}}^3$ as a homogeneous manifold for the action of the motion group given by rotations and translations. For an arbitrary $\tau \in \widehat{SO(3)}$, let $E_{\tau }$ be t…