Title : ( K-FRAMES AND UNITARY REPRESENTATIONS )
Authors: Bahram Dastourian , Mohammad Janfada ,
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Abstract
In this paper, we propose to define an atomic system induced by a unitary representation $\pi$ of a locally compact Hausdorff topological group on a Hilbert space. As a consequence, we give a K-frame corre- sponding to a unitary representation $\pi$, namely $\pi$-K-frame. Besides, the dual of $\pi$-K-frames are studied.
Keywords
, unitary representation, locally compact Hausdorff topological group, atomic system, $\pi$-K-frame, $\pi$-K-dual.
@article{paperid:1065100,
author = {Dastourian, Bahram and Janfada, Mohammad},
title = {K-FRAMES AND UNITARY REPRESENTATIONS},
journal = {Mathematical Reports},
year = {2019},
volume = {72},
number = {1},
month = {January},
issn = {1582-3067},
pages = {1--50},
numpages = {49},
keywords = {unitary representation; locally compact Hausdorff topological
group; atomic system; $\pi$-K-frame; $\pi$-K-dual.},
}
%0 Journal Article
%T K-FRAMES AND UNITARY REPRESENTATIONS
%A Dastourian, Bahram
%A Janfada, Mohammad
%J Mathematical Reports
%@ 1582-3067
%D 2019
