The Affine Group
Man Wah Wong · Birkhäuser Basel eBooks · 2002
We study in this chapter the affine group U, the Hardy space H + 2 (ℝ) and an irreducible and unitary representation π : U → U(H + 2 (ℝ)) of U on H + 2 (ℝ) for which the set AW(π) of all admissible wavelets for the representation π : U → U(H + 2 (ℝ)) is a proper subset of the unit sphere with at the origin in H + 2 (ℝ).