42 citations · 66 across the 17 of their papers we have counts for
17 papers
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…
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…
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…
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…
Nonstationary frames of translates and frames for the Weyl--Heisenberg group and the extended affine group
Divya Jindal, Lalit Kumar Vashisht
In this work, we analyze Gabor frames for the Weyl--Heisenberg group and wavelet frames for the extended affine group. Firstly, we give necessary and sufficient conditions for the…
Matrix-Valued Gabor Frames over LCA Groups for Operators
Jyoti, Lalit Kumar Vashisht, Uttam Kumar Sinha
G\v avruta studied atomic systems in terms of frames for range of operators (that is, for subspaces), namely -frames, where the lower frame condition is controlled by the Hilber…
Discrete Vector-Valued Nonuniform Gabor Frames
Lalit Kumar Vashisht, Hari Krishan Malhotra
Gabor frames have interested many mathematicians and physicists due to their potential applications in time-frequency analysis, in particular, signal processing. A Gabor system is…
Frames With Several Generators Associated with Weyl-Heisenberg Group and Extended Affine Group
Divya Jindal, Lalit Kumar Vashisht
We study the construction of Gabor frames and wavelet frames for Weyl-Heisenberg group and extended affine group by using contraction between the affine group and the Weyl-Heisenbe…
On the paper "Characterizations of weaving for -frames by induced sequences"
Deepshikha, Lalit Kumar Vashisht, Geetika Verma
A counter-example by Xiangchun Xiao, Guoping Zhao and Guorong Zhou in [J. Pseudo-Differ. Oper. Appl., (2021) 12:60] is incorrect. Further, there is no new characterization of weavi…
Unitary Extension Principle for Nonuniform Wavelet Frames in
Hari Krishan Malhotra, Lalit Kumar Vashisht
We study the construction of nonuniform tight wavelet frames for the Lebesgue space , where the related translation set is not necessary a group. The main purpose…
Vector-Valued (Super) Weaving Frames
Deepshikha, Lalit Kumar Vashisht
Two frames and for a separable Hilbert space are woven if there are positive constants such that for every subset $σ\subs…
Weaving K-frames in Hilbert Spaces
Deepshikha, Lalit K. Vashisht
Gavruta introduced -frames for Hilbert spaces to study atomic systems with respect to a bounded linear operator. There are many differences between K-frames and standard frames,…
Wave packet frames generated by hyponormal operators on
Lalit K. Vashisht
In this paper we study frame-like properties of a wave packet system by using hyponormal operators on . We present necessary and sufficient conditions in terms of…
Some Types of Linear Combinations of Weyl-Heisenberg Wave Packet Frames Over Local Fields of Positive Characteristic
Lalit K. Vashisht
In this paper, we present necessary and sufficient conditions for some types of linear combination of frame elements (wave packet) to be a frame for , where $\math…
On -reconstruction Property
L. K. Vashisht, Geetika Khattar
Reconstruction property in Banach spaces introduced and studied by Casazza and Christensen in [1]. In this paper we introduce reconstruction property in Banach spaces which satisfy…