TY - JOUR ID - 32195 TI - Coherent Frames JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Askari Hemmat, Ataollah AU - Safapour, Ahmad AU - Yazdani Fard, Zohreh AD - Department of Mathematics, Faculty of Mathematics and Computer Sciences, Shahid Bahonar University of Kerman, P.O.Box 76169-133, Kerman, Iran. AD - Department of Mathematics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, P.O.Box 518, Rafsanjan, Iran. Y1 - 2018 PY - 2018 VL - 11 IS - 1 SP - 1 EP - 11 KW - Coherent frame KW - Continuous frame KW - Locally compact group KW - Unitary representation DO - 10.22130/scma.2018.68276.261 N2 - 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 UR - https://scma.maragheh.ac.ir/article_32195.html L1 - https://scma.maragheh.ac.ir/article_32195_afa7e7e72abfe740af573ccc4c15cbac.pdf ER -