%0 Journal Article %T On a New G-Frame and Duality %J Wavelet and Linear Algebra %I Vali-e-Asr university of Rafsanjan %Z 2383-1936 %A Raisi Tousi, Reihaneh %A Kamyabi Gol, Rajab Ali %A Avazzadeh, Hosein %D 2018 %\ 06/01/2018 %V 5 %N 1 %P 1-9 %! On a New G-Frame and Duality %K Singleton g-frame operator %K Dual of a singleton g-frame %K Singleton g-Riesz basis %K Singleton g-orthonormal basis %R 10.22072/wala.2017.51870.1089 %X We introduce a new g-frame (singleton g-frame), g-orthonormal basis and g-Riesz basis and study corresponding notions in some other generalizations of frames.Also, we investigate duality  for some kinds of g-frames. Finally, we illustrate an example which provides a  suitable translation from discrete frames to Sun's g-frames. %U https://wala.vru.ac.ir/article_26091_28688f4eb210f2627bfedfc3f1f7ebd4.pdf