Dynamical Sampling and Systems from Iterative Actions of Operators
From MaRDI portal
Publication:4609722
DOI10.1007/978-3-319-55550-8_2zbMath1391.94593arXiv1606.03136OpenAlexW2410470583MaRDI QIDQ4609722
Armenak Petrosyan, Akram Al-Droubi
Publication date: 26 March 2018
Published in: Frames and Other Bases in Abstract and Function Spaces (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.03136
Related Items (30)
Phase retrieval via polarization in dynamical sampling ⋮ \(\boldsymbol{G}\)-duals of continuous \(\boldsymbol{G}\)-frames and their perturbations ⋮ Closed range weighted composition operators and dynamical sampling ⋮ \(\epsilon\)-approximations and dynamical representations of Hilbert-Schmidt frames ⋮ Dynamical sampling for shift-preserving operators ⋮ Orbits of bounded bijective operators and Gabor frames ⋮ Dynamical sampling on finite index sets ⋮ On frames that are iterates of a multiplication operator ⋮ Operator representations of frames: boundedness, duality, and stability ⋮ Frame properties of systems arising via iterated actions of operators ⋮ On abstract results of operator representation of frames in Hilbert spaces ⋮ Frames and generalized operator orbits ⋮ Representations of frames via iterative actions of operators in tensor product spaces ⋮ On frame properties of iterates of a multiplication operator ⋮ Closed range Volterra-type integral operators and dynamical sampling ⋮ Nonstationary frames of translates and frames from the Weyl–Heisenberg group and the extended affine group * ⋮ Phase retrieval and system identification in dynamical sampling via Prony's method ⋮ Frames by orbits of two operators that commute ⋮ Dynamical sampling and frame representations with bounded operators ⋮ Bessel orbits of normal operators ⋮ Time-variant system approximation via later-time samples ⋮ Operator representations of sequences and dynamical sampling ⋮ Evolutionary Systems Representations Based on Later Time Samples and Applications to PDEs ⋮ Frames induced by the action of continuous powers of an operator ⋮ Properties of bounded representations for \(G\)-frames ⋮ G-frame representations with bounded operators ⋮ Dynamical dual frames with an application to quantization ⋮ Local-to-Global Frames and Applications to the Dynamical Sampling Problem ⋮ Dynamical Sampling: A View from Control Theory ⋮ Approximate frame representations via iterated operator systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gabor fields and wavelet sets for the Heisenberg group
- Wavelets through a looking glass. The world of the spectrum
- On minimal trajectories for mobile sampling of bandlimited fields
- Frames in spaces with finite rate of innovation
- Fusion frames and distributed processing
- Slanted matrices, Banach frames, and sampling
- Localization of frames, Banach frames, and the invertibility of the frame operator
- Dynamical sampling: time-space trade-off
- Exact reconstruction of signals in evolutionary systems via spatiotemporal trade-off
- Sampling, splines and frames on compact manifolds
- Dynamical sampling
- Dynamical Sampling in Shift-Invariant Spaces
- Ten Lectures on Wavelets
- Wiener’s lemma for twisted convolution and Gabor frames
- Distributed Sampling of Signals Linked by Sparse Filtering: Theory and Applications
- Distributed Field Reconstruction in Wireless Sensor Networks Based on Hybrid Shift-Invariant Spaces
This page was built for publication: Dynamical Sampling and Systems from Iterative Actions of Operators
