Shift invariant spaces in \(L^2(\mathbb{R},\mathbb{C}^m)\) with \(m\) generators
type: Item
instance of: scholarly article
title: Shift invariant spaces in \(L^2(\mathbb{R},\mathbb{C}^m)\) with \(m\) generators
zbMATH Open document ID: 1470.94067
author: Anila John
author: S. H. Kulkarni
author: R. Radha
published in: The Journal of Analysis
publication date: 2021-08-19T00:00:00Z
Mathematics Subject Classification ID: 94A20
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 42B10
zbMATH DE Number: 7383683
zbMATH Keywords: block Laurent operator
zbMATH Keywords: reproducing kernel Hilbert space
zbMATH Keywords: stable set of sampling
zbMATH Keywords: vector valued Zak transform
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: s41478-019-00219-8
OpenAlex ID: W2999917882
cites work: On stability of sampling-reconstruction models
cites work: Nonuniform sampling and reconstruction in shift-invariant spaces
cites work: Robustness of sampling and reconstruction and Beurling--Landau-type theorems for shift-invariant spaces
cites work: \(p\)-frames and shift invariant subspaces of \(L^p\)
cites work: Nonuniform average sampling and reconstruction in multiply generated shift-invariant spaces
cites work: Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview
cites work: Some notes on an expansion theorem of Paley and Wiener
cites work: Sampling Theory
cites work: Relevant sampling in finitely generated shift-invariant spaces
cites work: Riesz bases in \(L^{2}(0,1)\) related to sampling in shift-invariant spaces
cites work: Classes of linear operators. Vol. II
cites work: Fast Local Reconstruction Methods for Nonuniform Sampling in Shift-Invariant Spaces
cites work: Q5593353
cites work: Q3628024
cites work: Necessary density conditions for sampling an interpolation of certain entire functions
cites work: Irregular sampling in wavelet subspaces
cites work: Q4328539
cites work: A theory for multiresolution signal decomposition: the wavelet representation
cites work: Q4023965
cites work: Sampling and reconstruction of signals in a reproducing kernel subspace of \(L^p(\mathbb R^d)\)
cites work: Q4760427
cites work: Invertibility of Laurent operators and shift invariant spaces with finitely many generators
cites work: Sampling and Reconstruction in a Shift Invariant Space with Multiple Generators
cites work: Local reconstruction of a function from a non-uniform sampled data
cites work: Sampling and reconstruction in shift-invariant spaces on \(\mathbb R^d\)
cites work: Nonuniform Average Sampling and Reconstruction of Signals with Finite Rate of Innovation
cites work: Local reconstruction for sampling in shift-invariant spaces
cites work: Sampling theorem for multiwavelet subspaces
cites work: Average sampling in spline subspaces
cites work: Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications
cites work: Dynamical sampling in multiply generated shift-invariant spaces
cites work: Convolution sampling and reconstruction of signals in a reproducing kernel subspace
DOI: 10.1007/S41478-019-00219-8
description: scientific article; zbMATH DE number 7383683