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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.FA2025
On perturbation of Hilbert-Schmidt frames
Jyoti, Lalit Kumar Vashisht
In this paper, we study perturbation of Hilbert-Schmidt frames under structured modifications, where the perturbation takes the form of replacing finitely or infinitely many frame…
math.FA2023
Sums of Frames from the Weyl--Heisenberg Group and Applications to Frame Algorithm
Divya Jindal, Jyoti, Lalit Kumar Vashisht
The relationship between the frame bounds of frames (Gabor) for the space with several generators from the Weyl-Heisenberg group and the scalars linked to the sum…