Generalized consistent sampling in abstract Hilbert spaces

被引：2
|
作者：
Kwon, Kil Hyun [1 ]
Lee, Dae Gwan [2 ]
机构：
[1] Korea Adv Inst Sci & Technol, Dept Math Sci, Daejeon 305701, South Korea
[2] Seoul Natl Univ, PLUS SNU Math Sci Div BK21, Seoul 151747, South Korea
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 433卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Consistent sampling; Frame; Oblique projection; RECONSTRUCTION; FRAMEWORK;
D O I：
10.1016/j.jmaa.2015.07.070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider generalized consistent sampling and reconstruction processes in an abstract Hilbert space H. We first study the consistent sampling in H together with its performance analysis. We then study its generalization: partial consistency and quasi-consistency. We give complete characterizations for both of them. We also provide an iterative algorithm to compute the quasi-consistent approximation. An illustrative example is also included. (C) 2015 Elsevier Inc. All rights reserved.
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页码：375 / 391
页数：17
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