Totally positive functions and Gabor frames over rational lattices
From MaRDI portal
Publication:6098432
DOI10.1016/j.aim.2023.109113zbMath1518.42042arXiv2301.00857MaRDI QIDQ6098432
Publication date: 13 June 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.00857
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Positive definite functions in one variable harmonic analysis (42A82) Sampling theory in information and communication theory (94A20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The mystery of Gabor frames
- Left inverses of matrices with polynomial decay
- Zeros of the Zak transform of totally positive functions
- Wiener's theorem and the asymptotic estimates of the elements of inverse matrices
- Slanted matrices, Banach frames, and sampling
- Stability of localized operators
- Surjectivity and invertibility properties of totally positive matrices
- Analysis of multiwindow Gabor-type schemes by frame methods
- Weyl-Heisenberg frames and Riesz bases in \(L_2(\mathbb{R}^d)\)
- Gabor analysis and algorithms. Theory and applications
- Duality and biorthogonality for Weyl-Heisenberg frames
- Foundations of time-frequency analysis
- Hyperbolic secants yield Gabor frames
- Sampling theorems for shift-invariant spaces, Gabor frames, and totally positive functions
- Some Weyl-Heisenberg frame bound calculations.
- Advances in Gabor analysis
- Gabor frames and totally positive functions
- Zak transforms and Gabor frames of totally positive functions and exponential B-splines
- Time-frequency analysis of operators
- History and evolution of the density theorem for Gabor frames
- Zeros of the Zak transform of averaged totally positive functions
- On Pólya frequency functions. I. The totally positive functions and their Laplace transforms
- Gabor frames for rational functions
- The abc-Problem for Gabor Systems and Uniform Sampling in Shift-Invariant Spaces
- Gabor Frames: Characterizations and Coarse Structure
- Wiener’s lemma for infinite matrices
- Wiener’s Lemma: Theme and Variations. An Introduction to Spectral Invariance and Its Applications
- On the Solvability of Certain Systems of Linear Difference Equations
- The Inverse of a Totally Positive Bi-Infinite Band Matrix
- Inverses of Infinite Sign Regular Matrices
- Density theorems for sampling and interpolation in the Bargmann-Fock space I.
- Varying the time-frequency lattice of Gabor frames
This page was built for publication: Totally positive functions and Gabor frames over rational lattices