Tuning Co- and Contra-Variant Transforms: the Heisenberg Group Illustration
Tuning Co- and Contra-Variant Transforms: the Heisenberg Group Illustration
We discuss a fine tuning of the co- and contra-variant transforms through construction of specific fiducial and reconstructing vectors. The technique is illustrated on three different forms of induced representations of the Heisenberg group. The covariant transform provides intertwining operators between pairs of representations. In particular, we obtain the Zak …