ContinuousWavelet Transform on a Quaternionic Hilbert Space

In this paper the new concept of the quaternionic unitary representation of a locally compact group to the unitary group of a quaternionic Hilbert space is studied. A continuous wavelet transform by means of a special case of such representations is defined to extend the continuous wavelet transform related to semidirect product groups.

Keywords:

Quaternionic Hilbert space , Unitary representation , Continuous Wavelet Trans form.