Spline function generating Gabor systems on the half real line
From MaRDI portal
Publication:6179899
DOI10.1002/mma.9066zbMath1529.42031MaRDI QIDQ6179899
No author found.
Publication date: 18 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15) Spline approximation (41A15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Counterexamples to the B-spline conjecture for Gabor frames
- B-spline approximations of the Gaussian, their Gabor frame properties, and approximately dual frames
- Zeros of the Zak transform of totally positive functions
- Gabor dual spline windows
- On Gabor frames generated by sign-changing windows and B-splines
- On a necessary condition for B-spline Gabor frames
- Expansion of frames to tight frames
- On generating tight Gabor frames at critical density
- Foundations of time-frequency analysis
- Hyperbolic secants yield Gabor frames
- Some Weyl-Heisenberg frame bound calculations.
- A qualitative uncertainty principle for functions generating a Gabor frame on LCA groups
- Extensions of Bessel sequences to dual pairs of frames
- Gabor frames and totally positive functions
- Estimates, decay properties, and computation of the dual function for Gabor frames
- Zak transforms and Gabor frames of totally positive functions and exponential B-splines
- Explicit construction of frames and pairs of dual frames on locally compact abelian groups
- Phase retrieval for continuous Gabor frames on locally compact abelian groups
- Fourier-like frames on locally compact abelian groups
- When a characteristic function generates a Gabor frame
- Pairs of dual Gabor frame generators with compact support and desired frequency localization
- Reproducing formulas for generalized translation invariant systems on locally compact abelian groups
- A Course in Abstract Harmonic Analysis
- The abc-Problem for Gabor Systems and Uniform Sampling in Shift-Invariant Spaces
- The theory of reproducing systems on locally compact abelian groups
- Reproducing pairs and the continuous nonstationary Gabor transform on LCA groups
- Gabor frames with trigonometric spline dual windows
- Note on B-splines, wavelet scaling functions, and gabor frames
- Density theorems for sampling and interpolation in the Bargmann-Fock space I.
- Multivariate Gabor frames for operators in matrix-valued signal spaces over locally compact abelian groups
- An introduction to frames and Riesz bases
- Co-compact Gabor systems on locally compact abelian groups
This page was built for publication: Spline function generating Gabor systems on the half real line