On a New G-Frame and Duality
Volume 5, Issue 1, 2018, Pages 1-9
https://doi.org/10.22072/wala.2017.51870.1089
Reihaneh Raisi Tousi, Rajab Ali Kamyabi Gol, Hosein Avazzadeh
Abstract 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.
A Necessary Condition for a Shearlet System to be a Frame via Admissibility
Volume 5, Issue 1, 2018, Pages 11-26
https://doi.org/10.22072/wala.2017.59948.1105
Mojgan Aminkhah, Ataollah Askari Hemmat, Reihaneh Raisi Tousi
Abstract Necessary conditions for shearlet and cone-adapted shearlet systems to be frames are presented with respect to the admissibility condition of generators.