Finding duality for Riesz bases of exponentials on multi-tiles
Finding duality for Riesz bases of exponentials on multi-tiles
复制标题
寻找多重瓦片上指数的 Riesz 基的对偶性
DOI：
10.1016/j.acha.2020.10.006
复制
发表时间：
2021
影响因子：
2.5
通讯作者：
Okoudjou, Kasso A.
中科院分区：
文献类型：
--
作者：
Frederick, Christina;Okoudjou, Kasso A.
已知[6]，[14]，[19]，如果Ω⊂Rd由格Λ平移时属于一类k-平铺整环，则存在由对偶格Ω的k平移构造的L 2(Λ⁎)的Riesz指数基.本文给出了相应的双正交对偶Riesz基的一个显式构造。我们还将[11]中介绍的迭代重建算法扩展到这种设置。
Abstract It is known [6],[14],[19] that if Ω⊂ R d belongs to a class of k-tiling domains when translated by a lattice Λ, there exists a Riesz basis of exponentials for L 2 (Ω) constructed using k translates of the dual lattice Λ⁎. In this paper, we give an explicit construction of the corresponding biorthogonal dual Riesz basis. We also extend the iterative reconstruction algorithm introduced in [11] to this setting.