Separation of zeros and a Hermite interpolation based frame algorithm for band limited functions

zbMath1385.42030arXiv1511.04007MaRDI QIDQ4609550

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Publication date: 4 April 2018

Full work available at URL: https://arxiv.org/abs/1511.04007

zbMATH Keywords

framesHermite interpolationbandlimited functionsBernstein's inequalitynonuniform samplingWirtinger-Sobolev inequality

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

Related Items (3)

Sampling with Derivatives in Periodic Shift-Invariant Spaces ⋮ Multiple sampling and interpolation in weighted Fock spaces of entire functions ⋮ Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames

Cites Work

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• Zeros of the Fourier transform of a distribution
• Iterative reconstructions in irregular sampling with derivatives
• Foundations of time-frequency analysis
• A Generalization of Hermite's Interpolation Formula
• Reconstruction Algorithms in Irregular Sampling

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