通过极小theta函数的极小框架算子范数
Minimal Frame Operator Norms Via Minimal Theta Functions.
作者信息
Faulhuber Markus
机构信息
NuHAG, Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria.
出版信息
J Fourier Anal Appl. 2018;24(2):545-559. doi: 10.1007/s00041-017-9526-x. Epub 2017 Feb 11.
Abstract
We investigate sharp frame bounds of Gabor frames with chirped Gaussians and rectangular lattices or, equivalently, the case of the standard Gaussian and general lattices. We prove that for even redundancy and standard Gaussian window the hexagonal lattice minimizes the upper frame bound using a result by Montgomery on minimal theta functions.
摘要
我们研究了具有啁啾高斯函数和矩形格点的伽柏框架的精确框架界，或者等价地，标准高斯函数和一般格点的情况。我们利用蒙哥马利关于最小theta函数的一个结果证明，对于偶数冗余度和标准高斯窗口，六边形格点使上框架界最小化。
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本文引用的文献
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