B-spline approximations of the Gaussian, their Gabor frame properties, and approximately dual frames

DOI10.1007/s00041-017-9557-3zbMath1408.42028arXiv1708.04803OpenAlexW2963565709MaRDI QIDQ667667

Hong Oh Kim, Ole Christensen, Rae Young Kim

Publication date: 1 March 2019

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.04803

zbMATH Keywords

dual framesGaussianframesB-splines

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items (6)

Approximately dual Gabor frames and almost perfect reconstruction based on a class of window functions ⋮ Partial Gabor frames and dual frames ⋮ Discrete Gabor frames and \(K\)-discrete Gabor frames ⋮ Spline function generating Gabor systems on the half real line ⋮ Unnamed Item ⋮ Approximately dual pairs of wavelet frames

Cites Work

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• Approximately dual frame pairs in Hilbert spaces and applications to Gabor frames
• On the asymptotic convergence of B-spline wavelets to Gabor functions
• Density theorems for sampling and interpolation in the Bargmann-Fock space I.
• Perturbations of Banach Frames and Atomic Decompositions
• Varying the time-frequency lattice of Gabor frames
• An introduction to frames and Riesz bases
• Weyl-Heisenberg frames, translation invariant systems and the Walnut representation

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