When a characteristic function generates a Gabor frame

DOI10.1016/j.acha.2007.06.005zbMath1242.42023OpenAlexW1977705307MaRDI QIDQ2425381

Qing Gu, De Guang Han

Publication date: 5 May 2008

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2007.06.005

zbMATH Keywords

Gabor systemGabor frame

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (12)

On the abc-problem in Weyl-Heisenberg frames ⋮ The abc-Problem for Gabor Systems and Uniform Sampling in Shift-Invariant Spaces ⋮ Dilation‐and‐modulation frame sets on the half real line ⋮ Spline function generating Gabor systems on the half real line ⋮ The mystery of Gabor frames ⋮ Weyl-Heisenberg Riesz bases generated by two intervals ⋮ Gabor frame sets for subspaces ⋮ On the Weyl-Heisenberg frames generated by simple functions ⋮ Frame sets for a class of compactly supported continuous functions ⋮ Asymptotic properties of Gabor frame operators as sampling density tends to infinity ⋮ On the frame set of the second-order B-spline ⋮ Gabor orthonormal bases generated by the unit cubes

Cites Work

• Von Neumann algebras associated with pairs of lattices in Lie groups
• Continuity properties of the Gabor frame operator
• Gabor analysis and algorithms. Theory and applications
• Foundations of time-frequency analysis
• History and evolution of the density theorem for Gabor frames
• Frames, Riesz bases, and discrete Gabor/wavelet expansions
• Note on B-splines, wavelet scaling functions, and gabor frames
• Painless nonorthogonal expansions
• Frames in the bargmann space of entire functions
• The wavelet transform, time-frequency localization and signal analysis
• Ten Lectures on Wavelets
• Density theorems for sampling and interpolation in the Bargmann-Fock space I.
• Weyl-Heisenberg frames for subspaces of $L^2(R)$
• Frames, bases and group representations
• Roots of complex polynomials and Weyl-Heisenberg frame sets
• Continuous and Discrete Wavelet Transforms
• A Class of Nonharmonic Fourier Series
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