A. Antony Selvan

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math.FA2024

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…

math.FA2023

On Gabor frames generated by B-splines, totally positive functions, and Hermite functions

Riya Ghosh, A. Antony Selvan

The frame set of a window $ϕ \in L^{2} (R)$ is the subset of all lattice parameters $(α, β) \in R_{+}^{2}$ such that $\mathcal{G}(ϕ,α,β)=\{e^{2πiβm\cdot}ϕ(\cdot-αk) : k, m…