Coherent Frames
Journal: Sahand Communications in Mathematical Analysis (Vol.11, No. 1)Publication Date: 2018-08-01
Authors : Ataollah Askari Hemmat; Ahmad Safapour; Zohreh Yazdani Fard;
Page : 1-11
Keywords : Coherent frame; Continuous frame; Locally compact group; Unitary representation;
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
Other Latest Articles
- N BINARY QUADRATIC EQUATION y2 = 35x2 + 29
- CARBONATION PERFORMANCE OF CONCRETE MADE WITH NANOSILICA
- DEVELOPMENT OF TERRACE FLOORING TILES USING FLYASH AND TEXTILE INDUSTRY SLUDGE
- EVALUATION OF DESCRIPTIVE ANSWER SHEET USING ARTIFICIAL INTELLIGENCE
- SYNTHESIS, STRUCTURE AND OPTICAL PROPERTIES OF ORGANIC INORGANIC HYBRID PEROVSKITES (C4H9NH3)2PBBR4 AND (C6H5CH2NH3)2PBBR4
Last modified: 2019-04-28 14:06:53