Multivariate Gabor frames and sampling of entire functions of several variables

作者：Groechenig Karlheinz

来源：Applied and Computational Harmonic Analysis, 2011, 31(2): 218-227.

DOI：10.1016/j.acha.2010.11.006

• Gabor frame
• Gauss function
• Lattice
• Weierstrass sigma-function
• Entire functions of several variables

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.

• 出版日期2011-9