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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.FA2024
Random average sampling over quasi shift-invariant spaces on LCA groups
Ankush Kumar Garg, S. Arati, P. Devaraj
The problem of random average sampling and reconstruction over multiply generated local quasi shift-invariant subspaces of mixed Lebesgue spaces in the setting of locally compact a…