Abstract:Let φ be a continuous function in L 2 (R) with a certain decay at infinity and a non-vanishing property in a neighborhood of the origin for the periodization of its Fourier transform φ. Under the above assumptions on φ, we derive uniform and non-uniform sampling expansions in shift invariant spaces V φ ⊂ L 2 (R). We also produce local (finite) sampling formulas, approximating elements of V φ in bounded intervals of R, and we provide estimates for the corresponding approximation error, namely, the truncation er… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.