Dynamical sampling in ℓ2(Z)(d) and vector shift-invariant spaces

Zhenli Guo, Yue Su


Dynamical sampling problem in which we seek to reconstruct a sequence or function in evolutionary systems via spatiotemporal trade-off. In this paper, we present the problem of dynamical sampling in ℓ2(Z)(d) and vector shift-invariant spaces. We first give a sufficient and necessary condition under which c∈ℓ2(Zd)(d) can be recovered by its spatial and temporal samples. Then to illustrate our main result, we give two examples to show that the sufficient and necessary condition in the main result is feasible. Finally, we study the dynamical sampling problem in vector shift-invariant spaces.

Full Text: PDF

Published: 2022-11-02

How to Cite this Article:

Zhenli Guo, Yue Su, Dynamical sampling in ℓ2(Z)(d) and vector shift-invariant spaces, Adv. Fixed Point Theory, 12 (2022), Article ID 12

Copyright © 2022 Zhenli Guo, Yue Su. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Fixed Point Theory

ISSN: 1927-6303

Editorial Office: afpt@scik.org

Copyright ©2024 SCIK Publishing Corporation