Coherent Frames

Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element f in a Hilbert space, called coherent frames. In this paper, we introduce a class of continuous frames in a Hilbert space H which is indexed by some locally compact group G, equipped with its left Haar measure. These frames are obtained as the orbits of a single element of Hilbert space H under some unitary representation π of G on H. It is interesting that most of important frames are coherent. We also investigate canonical dual and combinations of this frames.