Multivariate Gabor frames and sampling of entire functions of several variables

被引：13

作者：

Groechenig, Karlheinz ^{[1
]}

机构：

[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2011年 / 31卷 / 02期

关键词：

Gabor frame; Gauss function; Lattice; Weierstrass sigma-function; Entire functions of several variables; REPRESENTATIONS; THEOREM; SPACE;

D O I：

10.1016/j.acha.2010.11.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate Gabor frames with Gaussian windows in higher dimensions. This problem is equivalent to a sampling problem in Bargmann-Fock space. In contrast to dimension d = 1. the frame property is no longer characterized by the density of the lattice. We give sufficient conditions for complex lattices to generate a multivariate Gabor frame with a Gaussian window. (c) 2010 Elsevier Inc. All rights reserved.

引用

页码：218 / 227

页数：10

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