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arXiv · 1801.05715

Reconstruction of functions in principal shift-invariant subspaces of mixed Lebesgue spaces

Qingyue Zhang
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Abstract

In this paper, we discuss to the nonuniform sampling problem in principal shift-invariant subspaces of mixed Lebesgue spaces. We proposed a fast reconstruction algorithm which allows to exactly reconstruct the functions in the principal shift-invariant subspaces as long as the sampling set $X=\{(x_{j},y_{k}):k,j\in \mathbb{J}\}$ is sufficiently dense. Our results improve the result in \cite{LiLiu}.

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Qingyue Zhang. 2018-01-17. Reconstruction of functions in principal shift-invariant subspaces of mixed Lebesgue spaces. https://arxiv.org/abs/1801.05715

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