Error estimates for irregular sampling of band-limited functions on a locally compact abelian group
type: Item
instance of: scholarly article
title: Error estimates for irregular sampling of band-limited functions on a locally compact abelian group
zbMATH Open document ID: 1015.43003
DOI: 10.1016/S0022-247X(02)00576-0
author: Yanyan Li
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-05-25T00:00:00Z
review text: The authors study various types of error estimates for certain reconstruction methods. These results extend the corresponding earlier results given for the Euclidean \(n\)-space only. Also, these error estimates apply uniformly to large families of function spaces. These results are new even for the case of regular sampling over locally compact Abelian groups, i.e., for the case that the sampling values are taken from some lattice in this group (a discrete subgroup with compact quotient). They give qualitative estimates for the jitter error, for the aliasing error, or truncation errors and combined errors.
Mathematics Subject Classification ID: 43A25
Mathematics Subject Classification ID: 94C10
zbMATH DE Number: 1915757
zbMATH Keywords: round off error
zbMATH Keywords: quantization error
zbMATH Keywords: locally compact Abelian groups
zbMATH Keywords: jitter error
zbMATH Keywords: aliasing error
zbMATH Keywords: truncation errors
reviewed by: Antonio López-Carmona
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1915757