Showing math.FAShow all
3 papers · 1 filter
math.FA2024
Optimal dual pairs of frames for erasures
S. Arati, P. Devaraj, Shankhadeep Mondal
The study involves characterizations of dual pairs of frames which are optimal to handle erasures among all dual pairs for a finite dimensional Hilbert space. A new optimality meas…
math.FA2024
Characterizations of weak R-duality and its application to Gabor frames
Himanshi Bansal, P. Devaraj, S. Arati
Weak R-duals, a generalization of R-duals, were recently introduced; for which duality relations were established. In this paper, we consider the problem of characterizing a given…
math.FA2019
Sampling theorem and reconstruction formula for the space of translates on the Heisenberg group
S. Arati, R. Radha
The paper deals with the necessary and sufficient conditions for obtaining reconstruction formulae and sampling theorems for every function belonging to the principal shift invaria…