1 citations · 2 across the 9 of their papers we have counts for
9 papers
Bernoulli--Strang--Fix Conditions: Approximation and Prediction by Sampling Kantorovich Operators
Sreya T, A. Antony Selvan
In this paper, we introduce the Bernoulli--Strang--Fix conditions and their generalized versions for a vector-valued generator and a periodic nonuniform sam…
Signal Prediction by Derivative Samples from the Past via Perfect Reconstruction
Sreya T, Riya Ghosh, A. Antony Selvan
This paper investigates signal prediction through the perfect reconstruction of signals from shift-invariant spaces using nonuniform samples of both the signal and its derivatives.…
Construction of irregular complete interpolation sets for shift-invariant spaces
Kumari Priyanka, A. Antony Selvan
For several shift-invariant spaces, there exists a real number such that the set is a complete interpolation set. In this paper, we characterize the…
Derivative sampling expansions in shift-invariant spaces with error estimates covering discontinuous signals
Kumari Priyanka, A. Antony Selvan
This paper is concerned with the problem of sampling and interpolation involving derivatives in shift-invariant spaces and the error analysis of the derivative sampling expansions…
Obstructions for Gabor frames of the second order B-spline
Riya Ghosh, A. Antony Selvan
For a window , the subset of all lattice parameters such that $\mathcal{G}(g,a,b)=\{e^{2πib m\cdot}g(\cdot-a k) : k, m\in\mathbb{Z}…
On Gabor frames generated by B-splines, totally positive functions, and Hermite functions
Riya Ghosh, A. Antony Selvan
The frame set of a window is the subset of all lattice parameters such that $\mathcal{G}(ϕ,α,β)=\{e^{2πiβm\cdot}ϕ(\cdot-αk) : k, m…
Sharp results on sampling with derivatives in bandlimited functions
A Antony Selvan
We discuss the problems of uniqueness, sampling and reconstruction with derivatives in the space of bandlimited functions. We prove that if X is sequence of real numbers such that…
A new sampling density condition for shift-invariant spaces
A. Antony Selvan
Let , , be a sampling set which is separated by a constant . Under certain conditions on , it is proved that if t…
Separation of zeros and a Hermite interpolation based frame algorithm for band limited functions
A. Antony Selvan, R. Radha
It is shown that if a non-zero function has infinitely many double zeros on the real axis, then there exists at least one pair of consecutive zeros whose distance apart…