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

25 Jan 2018  ·  Zhang Qingyue ·

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}. read more

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Functional Analysis