Article ID Journal Published Year Pages File Type
4592718 Journal of Functional Analysis 2008 20 Pages PDF
Abstract

We derive necessary conditions for sampling and interpolation of bandlimited functions on a locally compact abelian group in line with the classical results of H. Landau for bandlimited functions on Rd. Our conditions are phrased as comparison principles involving a certain canonical lattice.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory