Reproducing kernel Hilbert spaces of CR functions for the Euclidean motion group
Reproducing kernel Hilbert spaces of CR functions for the Euclidean motion group
We study the geometric structure of the reproducing kernel Hilbert space associated to the continuous wavelet transform generated by the irreducible representations of the group of Euclidean motions of the plane SE(2). A natural Hilbert norm for functions on the group is constructed that makes the wavelet transform an isometry, …