Dynamical sampling, derivatives, and interpolation formulas in the Paley--Wiener space
Abstract
In this paper we present a criteria to obtain interpolations formulas in terms of the sequence (\Tn(f)(Nm)\\m∈Z)n=1N, where f are functions whose Fourier transform is supported in [-1/2,1/2], and Tn are certain Fourier multiplier operators. We also discuss applications and also prove that our results recover several classical formulas.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.