On the perturbations of maps obeying Shannon–Whittaker–Kotel’nikov’s theorem generalization

Abstract Let f : R → R $f: \mathbb{R}\rightarrow \mathbb{R}$ be a map and τ ∈ R + $\tau \in \mathbb{R}^{+}$ . The map f obeys the Shannon–Whittaker–Kotel’nikov theorem generalization (SWKTG) if f ( t ) = lim n → ∞ ( ∑ k ∈ Z f 1 n ( k τ ) sinc ( τ t − k ) ) n $f(t)=\lim_{n\to \infty } ( \sum_{k\in \m...

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Bibliographic Details
Main Authors: Almudena Antuña, Juan L. G. Guirao, Miguel A. López
Format: Article
Language:English
Published: SpringerOpen 2021-08-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-021-03535-1