We examine the affine Wigner distribution from a quantization perspective with an emphasis on the underlying group structure. One of our main results expresses the scalogram as (affine) convolution of affine Wigner ...

We investigate the wavelet spaces Wg(Hπ)⊂L2(G) arising from square integrable representations π:G→U(Hπ) of a locally compact group G. We show that the wavelet spaces are rigid in the sense that non-trivial intersection ...

Coorbit theory is a powerful machinery that constructs a family of Banach spaces, the so-called coorbit spaces, from well-behaved unitary representations of locally compact groups. A core feature of coorbit spaces is that ...