Vector-valued weak Gabor dual frames on discrete periodic sets
From MaRDI portal
Publication:5228078
DOI10.1063/1.5043493zbMath1423.42055OpenAlexW2955874988MaRDI QIDQ5228078
Publication date: 8 August 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5043493
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)
Related Items
Cites Work
- Completeness of Gabor systems
- Vector-valued Gabor frames associated with periodic subsets of the real line
- Efficient algorithms for the discrete Gabor transform with a long FIR window
- Refinable function-based construction of weak (quasi-)affine bi-frames
- Superframes and polyanalytic wavelets
- Discrete coherent states for higher Landau levels
- Multi-window gabor frames and oblique Gabor duals on discrete periodic sets
- Subspace dual super wavelet and Gabor frames
- Sampling and interpolation in Bargmann-Fock spaces of polyanalytic functions
- On the structure of Gabor and super Gabor spaces
- Homogeneous wavelets and framelets with the refinable structure
- Gabor (super)frames with Hermite functions
- Wavelet bi-frames with few generators from multivariate refinable functions
- Simultaneous estimates for vector-valued Gabor frames of Hermite functions
- Construction and reconstruction of tight framelets and wavelets via matrix mask functions
- Gabor systems on discrete periodic sets
- Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
- From continuous to discrete Weyl-Heisenberg frames through sampling
- Foundations of time-frequency analysis
- Framelets and wavelets. Algorithms, analysis, and applications
- The existence of subspace wavelet sets
- Orthogonal frames of translates
- Framelets: MRA-based constructions of wavelet frames
- Pairs of dual wavelet frames from any two refinable functions
- The uniqueness of the dual of Weyl--Heisenberg subspace frames
- Dimension invariance of finite frames of translates and Gabor frames
- Super Gabor frames on discrete periodic sets
- Orthogonal wavelet frames and vector-valued wavelet transforms
- Lattice tiling and density conditions for subspace Gabor frames
- Rational time-frequency super Gabor frames and their duals
- Gabor frames by sampling and periodization
- Super-wavelets and decomposable wavelet frames
- Weak (quasi-)affine bi-frames for reducing subspaces of \(L^{2}(\mathbb{R}^{d})\)
- MRA super-wavelets
- Convergence of an iterative time-variant filtering based on discrete Gabor transform
- Weak Gabor bi-frames on periodic subsets of the real line
- Discrete Gabor frames in $\ell ^2(\mathbb {Z}^d)$
- Sufficient conditions and stability of wavelet superframes
- Weak Nonhomogeneous Wavelet Bi-Frames for Reducing Subspaces of Sobolev Spaces
- Oversampling generates super-wavelets
- The duals of Gabor frames on discrete periodic sets
- The wavelet transform, time-frequency localization and signal analysis
- Discrete multi-Gabor expansions
- Weyl-Heisenberg frames for subspaces of $L^2(R)$
- Frames, bases and group representations
- A class of vector-valued subspace weak Gabor duals of type II
- A Linear Cost Algorithm to Compute the Discrete Gabor Transform
- Efficient Algorithms for Discrete Gabor Transforms on a Nonseparable Lattice
- Multiwindow Real-Valued Discrete Gabor Transform and Its Fast Algorithms
- Super Oblique Gabor Duals of Super Gabor Frames on Discrete Periodic Sets
- True Bargmann transforms for rank one automorphic functions associated with Landau levels
- RATIONAL TIME-FREQUENCY GABOR FRAMES ASSOCIATED WITH PERIODIC SUBSETS OF THE REAL LINE
- An introduction to frames and Riesz bases
- Subspace Weyl-Heisenberg frames
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item