Title of article :
Frames of Translates by Semiregular Sampling
Author/Authors :
Valizadeh, F Central Tehran Branch, Islamic Azad University , Rahimi, H Central Tehran Branch, Islamic Azad University , Kamyabi Gol, R.A Ferdowsi University of Mashhad and Center of Excellence in Analysis on Algebraic Structures (CEAAS) , Esmaeelzadeh, F Bojnourd Branch, Islamic Azad University
Abstract :
In this paper, we consider some kinds of semiregular frames
of translates on the Hilbert space L2(Rd). More precisely, we investigate
the frames of the form {TAkf}k∈Zd where A is a real invertible d × d
matrix, f ∈ L2(Rd) and it is a frame for the closed subspace generated
by {TAkf}k∈Zd .
Keywords :
frames , Riesz bases , semi-irregular trans - lates , sampling
Journal title :
Journal of Mathematical Extension(IJME)
