Nonuniform average sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces

被引：12

作者：

Zhang, Qingyue ^{[1
]}

机构：

[1] Tianjin Univ Technol, Coll Sci, 391 Bin Shui Xi Dao Rd, Tianjin 300384, Peoples R China

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2020年 / 18卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Mixed Lebesgue spaces; nonuniform average sampling; shift-invariant subspaces; RECONSTRUCTION; ALGORITHM; OPERATORS; THEOREMS; LP;

D O I：

10.1142/S0219691320500137

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper, we study nonuniform average sampling problem in multiply generated shift-invariant subspaces of mixed Lebesgue spaces. We discuss two types of average sampled values: average sampled values {< f, psi(a)(. - x(j), .- y(k))>:j, k is an element of J} generated by single averaging function and average sampled values {< f, psi(xj,yk)>:j, k is an element of J} generated by multiple averaging functions. Two fast reconstruction algorithms for these two types of average sampled values are provided.

引用

页数：16

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