Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames

DOI10.1007/s00365-019-09456-3zbMath1430.42034arXiv1712.07899OpenAlexW2962691036MaRDI QIDQ2285746

José Luis Romero, Joachim Stöckler, Karlheinz Gröchening

Publication date: 8 January 2020

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.07899

zbMATH Keywords

Gaussianshift-invariant spaceJensen's formulaGabor frametotally positive functionBeurling densitysampling with derivatives

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

Related Items (11)

Shift-Invariant Spaces of Entire Functions ⋮ On planar sampling with Gaussian kernel in spaces of bandlimited functions ⋮ Multiple sampling and interpolation in weighted Fock spaces of entire functions ⋮ Complete interpolating sequences for the Gaussian shift-invariant space ⋮ Sign retrieval in shift-invariant spaces with totally positive generator ⋮ Completeness of certain exponential systems and zeros of lacunary polynomials ⋮ Average sampling and reconstruction of quasi shift-invariant stochastic processes ⋮ Phase retrieval of bandlimited functions for the wavelet transform ⋮ Nonuniform sampling theorem for non-decaying signals in mixed-norm spaces \(L_{\overrightarrow{p},\frac{1}{\omega}}(\mathbb{R}^d)\) ⋮ Totally positive functions in sampling theory and time-frequency analysis ⋮ Sampling and interpolation of periodic nonuniform samples involving derivatives

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