The insights discussed in this chapter are rooted in a critical observation made initially by Hartmut Fuhr. This observation asserts that the left regular representation of the affine group can be deconstructed into a direct sum of two nonequivalent unitary irreducible representations, each appearing with infinite multiplicity. Suppose one can demonstrate that this infinite multiplicity does not impede the construction of frames through the discretization of the representation. In that case, it implies that the left regular representation of the affine group contains a frame within at least one of its orbits. If a Lie group contains a closed subgroup, which is Lie isomorphic to the affine group, the restriction of the left regular representation of the group to this closed subgroup can be considered unitarily equivalent to a direct sum of the left regular representation of the affine group, with each component recurring infinitely.