1 citations · 2 across the 9 of their papers we have counts for
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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…