The mystery of Gabor frames
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Publication:485266
DOI10.1007/s00041-014-9336-3zbMath1309.42045OpenAlexW2032799698MaRDI QIDQ485266
Publication date: 9 January 2015
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-014-9336-3
Related Items (35)
Completeness of Gabor systems ⋮ On a (no longer) new Segal algebra: a review of the Feichtinger algebra ⋮ Optimal Gabor frame bounds for separable lattices and estimates for Jacobi theta functions ⋮ Gabor frame sets of invariance: a Hamiltonian approach to Gabor frame deformations ⋮ A SHORT NOTE ON THE FRAME SET OF ODD FUNCTIONS ⋮ Pseudo-differential operators and existence of Gabor frames ⋮ The density theorem for discrete series representations restricted to lattices ⋮ On Gabor frames generated by sign-changing windows and B-splines ⋮ Gabor frame bound optimizations ⋮ Totally positive functions and Gabor frames over rational lattices ⋮ Quaternionic Gabor frame characterization and the density theorem ⋮ Phase Retrieval: Uniqueness and Stability ⋮ Metaplectic Gabor frames and symplectic analysis of time-frequency spaces ⋮ Sampling theorems for shift-invariant spaces, Gabor frames, and totally positive functions ⋮ Sampling of entire functions of several complex variables on a lattice and multivariate Gabor frames ⋮ Gabor Frames: Characterizations and Coarse Structure ⋮ Applied harmonic analysis and data processing. Abstracts from the workshop held March 25--31, 2018 ⋮ Bimodal Wilson systems in \(L^2(\mathbb{R})\) ⋮ Counterexamples to the B-spline conjecture for Gabor frames ⋮ Minimal frame operator norms via minimal theta functions ⋮ On some Hermite series identities and their applications to Gabor analysis ⋮ Some curious results related to a conjecture of Strohmer and Beaver ⋮ The density theorem of a class of dilation-and-modulation systems on the half real line ⋮ Reproducing pairs and Gabor systems at critical density ⋮ Gaussian distributions and phase space Weyl-Heisenberg frames ⋮ Non-symmetric convex polytopes and Gabor orthonormal bases ⋮ Duality for frames ⋮ Weyl-Heisenberg frame operators and Kohn-Nirenberg symbols ⋮ On the parity under metapletic operators and an extension of a result of Lyubarskii and Nes ⋮ Weighted Zak transforms and the dual tiling condition ⋮ Frame sets for a class of compactly supported continuous functions ⋮ Gabor orthogonal bases and convexity ⋮ Weak frames in Hilbert \(C^*\)-modules with application in Gabor analysis ⋮ Non-separable lattices, Gabor orthonormal bases and tilings ⋮ On the frame set of the second-order B-spline
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