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 -