@article {
author = {Askari Hemmat, Ataollah and Safapour, Ahmad and Yazdani Fard, Zohreh},
title = {Coherent Frames},
journal = {Sahand Communications in Mathematical Analysis},
volume = {11},
number = {1},
pages = {1-11},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.68276.261},
abstract = {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},
keywords = {Coherent frame,Continuous frame,Locally compact group,Unitary representation},
url = {https://scma.maragheh.ac.ir/article_32195.html},
eprint = {https://scma.maragheh.ac.ir/article_32195_afa7e7e72abfe740af573ccc4c15cbac.pdf}
}