Density theorems for sampling and interpolation in the Bargmann-Fock space
复变函数
2016-09-06 v1 泛函分析
摘要
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.
引用
@article{arxiv.math/9204238,
title = {Density theorems for sampling and interpolation in the Bargmann-Fock space},
author = {Kristian Seip},
journal= {arXiv preprint arXiv:math/9204238},
year = {2016}
}
备注
7 pages