Density theorems for sampling and interpolation in the Bargmann-Fock space

Preprint

1 April 1992

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/9204238

Abstract

We give a complete description of sampling and interpolation in the Bargmann-Fock space, based on a density concept of Beurling. Roughly speaking, a discrete set is a set of sampling if and only if its density in every part of the plane is strictly larger than that of the von Neumann lattice, and similarly, a discrete set is a set of interpolation if and only if its density in every part of the plane is strictly smaller than that of the von Neumann lattice.

Keywords

SAMPLING AND INTERPOLATION
VON NEUMANN LATTICE
BARGMANN FOCK SPACE
PLANE IS STRICTLY
DENSITY THEOREMS
FOCK SPACE

All Related Versions

Version 1, 1992-04-01, ArXiv

This publication has 0 references indexed in Scilit: