5 papers
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…
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…
Frames for source recovery from non-uniform dynamical samples
Ruchi, Lalit Kumar Vashisht
Motivated by the work of Aldroubi et al., we investigate the stability of the source term of the discrete dynamical system indexing over a non-uniform discrete set arising from spe…
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…
Operators for matrix-valued Riesz bases over LCA groups
Jyoti, Lalit Kumar Vashisht
The image of a given orthonormal basis for a separable Hilbert space under a bijective, bounded, and linear operator acting on is called a Riesz basis o…