Generalized consistent sampling in abstract Hilbert spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:433

Article

Kwon, Kil Hyun¹  Lee, Dae Gwan² 

[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

关键词: Consistent sampling;    Frame;    Oblique projection;   

DOI  :  10.1016/j.jmaa.2015.07.070

来源: Elsevier

【 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.

【 授权许可】

Free