当前位置: X-MOL 学术Constr. Approx. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Sharp Results on Sampling with Derivatives in Shift-Invariant Spaces and Multi-Window Gabor Frames
Constructive Approximation ( IF 2.3 ) Pub Date : 2019-03-11 , DOI: 10.1007/s00365-019-09456-3
Karlheinz Gröchenig , José Luis Romero , Joachim Stöckler

We study the problem of sampling with derivatives in shift-invariant spaces generated by totally-positive functions of Gaussian type or by the hyperbolic secant. We provide sharp conditions in terms of weighted Beurling densities. As a by-product we derive new results about multi-window Gabor frames with respect to vectors of Hermite functions or totally positive functions.

中文翻译:

在平移不变空间和多窗口 Gabor 帧中使用导数进行采样的结果

我们研究了在由高斯类型的全正函数或双曲正割生成的移不变空间中使用导数进行采样的问题。我们在加权 Beurling 密度方面提供了严格的条件。作为副产品,我们推导出关于 Hermite 函数向量或完全正函数向量的多窗口 Gabor 框架的新结果。
更新日期:2019-03-11
down
wechat
bug