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math.FA2026
Nagy and Pollard-Hilding-Type Stability of Hilbert-Schmidt Frames
Jyoti, Ruchi, Lalit Kumar Vashisht
We establish several sufficient conditions ensuring that a perturbed family of operators in a given Hilbert-Schmidt frame for a separable Hilbert space remains a Hilbert-Schmidt fr…
math.DS2026
Stable Initial-State Recovery from Dynamical Samples using Nagy-Type and Pollard-Hilding-Type Frame Perturbations
Ruchi, Lalit Kumar Vashisht
Stimulated by Aldroubi and his collaborator's recent work on dynamical sampling, we consider a homogeneous discrete dynamical system of the form $f_n = A f_{n-1}= A^{n}f, \quad f_0…