Shift invariant spaces in \(L^2(\mathbb{R},\mathbb{C}^m)\) with \(m\) generators
From MaRDI portal
Publication:2047300
DOI10.1007/s41478-019-00219-8zbMath1470.94067OpenAlexW2999917882MaRDI QIDQ2047300
Anila John, S. H. Kulkarni, Ramakrishnan Radha
Publication date: 19 August 2021
Published in: The Journal of Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41478-019-00219-8
reproducing kernel Hilbert spaceblock Laurent operatorstable set of samplingvector valued Zak transform
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Relevant sampling in finitely generated shift-invariant spaces
- Sampling and reconstruction in shift-invariant spaces on \(\mathbb R^d\)
- Local reconstruction of a function from a non-uniform sampled data
- Classes of linear operators. Vol. II
- Irregular sampling in wavelet subspaces
- Sampling theorem for multiwavelet subspaces
- Average sampling in spline subspaces
- Nonuniform average sampling and reconstruction in multiply generated shift-invariant spaces
- Sampling and reconstruction of signals in a reproducing kernel subspace of \(L^p(\mathbb R^d)\)
- Robustness of sampling and reconstruction and Beurling--Landau-type theorems for shift-invariant spaces
- Local reconstruction for sampling in shift-invariant spaces
- Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications
- On stability of sampling-reconstruction models
- Riesz bases in \(L^{2}(0,1)\) related to sampling in shift-invariant spaces
- Necessary density conditions for sampling an interpolation of certain entire functions
- Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
- Convolution sampling and reconstruction of signals in a reproducing kernel subspace
- A theory for multiresolution signal decomposition: the wavelet representation
- Nonuniform Average Sampling and Reconstruction of Signals with Finite Rate of Innovation
- Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview
- Fast Local Reconstruction Methods for Nonuniform Sampling in Shift-Invariant Spaces
- Sampling and Reconstruction in a Shift Invariant Space with Multiple Generators
- Invertibility of Laurent operators and shift invariant spaces with finitely many generators
- Sampling Theory
- Dynamical sampling in multiply generated shift-invariant spaces
- Some notes on an expansion theorem of Paley and Wiener
- \(p\)-frames and shift invariant subspaces of \(L^p\)
