Covariant functional calculi from the affine groups (Q731984)

Invoking the Clifford-Hermite wavelets from Clifford analysis, the author uses the covariances of affine groups to construct a kind of functional calculi for several non-commuting bounded operators. Functional calculi are the intertwining transforms between the representations of affine groups in the space \(L^2(\mathbb R^m)\) and in the space of bounded operators. It turns out that the Weyl calculus is the value of this new functional calculus at the identity of affine groups.