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Dynamical sampling for shift-preserving operators
Applied and Computational Harmonic Analysis ( IF 2.6 ) Pub Date : 2020-11-26 , DOI: 10.1016/j.acha.2020.11.004 A. Aguilera , C. Cabrelli , D. Carbajal , V. Paternostro
中文翻译:
保持班次的动态采样
更新日期:2020-12-08
Applied and Computational Harmonic Analysis ( IF 2.6 ) Pub Date : 2020-11-26 , DOI: 10.1016/j.acha.2020.11.004 A. Aguilera , C. Cabrelli , D. Carbajal , V. Paternostro
In this note, we solve the dynamical sampling problem for a class of shift-preserving operators acting on a finitely generated shift-invariant space V. We find conditions on L and a finite set of functions of V so that the iterations of the operator L on the functions produce a frame generator set of V. This means that the integer translations of the generators form a frame of V.
中文翻译:
保持班次的动态采样
在本说明中,我们解决了一类移位保持算子的动态采样问题 作用在有限生成平移不变空间V。我们找到L的条件和V的有限函数集,以便运算符L在函数上的迭代产生V的帧生成器集。这意味着生成器的整数平移形成V的框架。