%0 Journal Article
%T Coherent Frames
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Askari Hemmat, Ataollah
%A Safapour, Ahmad
%A Yazdani Fard, Zohreh
%D 2018
%\ 08/01/2018
%V 11
%N 1
%P 1-11
%! Coherent Frames
%K Coherent frame
%K Continuous frame
%K Locally compact group
%K Unitary representation
%R 10.22130/scma.2018.68276.261
%X 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 $\mathcal{H}$ 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 $\mathcal{H}$ under some unitary representation $\pi$ of $G$ on $\mathcal{H}$. It is interesting that most of important frames are coherent. We investigate canonical dual and combinations of this frames
%U https://scma.maragheh.ac.ir/article_32195_afa7e7e72abfe740af573ccc4c15cbac.pdf