R. Raisi Tousi
Department of Mathematics, Ferdowsi University of Mashhad
[ 1 ] - Continuous frames and g-frames
In this note, we aim to show that several known generalizations of frames are equivalent to the continuous frame defined by Ali et al. in 1993. Indeed, it is shown that these generalizations can be considered as an operator between two Hilbert spaces.
[ 2 ] - On a new G-frame and duality
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.
[ 3 ] - A necessary condition for a Shearlet system to be a frame via admissibility
Necessary conditions for shearlet and cone-adapted shearlet systems to be frames are presented with respect to the admissibility condition of generators.
[ 4 ] - Numerical solution of the wave equation using shearlet frames
In this paper, using shearlet frames, we present a numerical method for solving the wave equation. We define a new shearlet system and by the Plancherel theorem, we calculate the shearlet coefficients.
[ 5 ] - On a Metric on Translation Invariant Spaces
In this paper we de ne a metric on the collection of all translation invarinat spaces on a locally compact abelian group and we study some properties of the metric space.
Co-Authors