Sampling the flow of a bandlimited function

DOI10.1007/s12220-021-00617-0zbMath1471.94017arXiv2004.14032OpenAlexW3128761367MaRDI QIDQ2050722

José Luis Romero, Longxiu Huang, Philippe Jaming, Akram Al-Droubi, Ilya A. Krishtal, Karlheinz Gröchening

Publication date: 31 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.14032

zbMATH Keywords

heat flowbandlimited functiondynamical samplingmobile samplingRemez-Turan inequality

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Sampling theory in information and communication theory (94A20) Numerical methods in Fourier analysis (65T99)

Related Items (6)

On planar sampling with Gaussian kernel in spaces of bandlimited functions ⋮ A sufficient condition for mobile sampling in terms of surface density ⋮ Reconstruction of bandlimited functions from space-time samples ⋮ Recovery of rapidly decaying source terms from dynamical samples in evolution equations ⋮ Phase retrieval and system identification in dynamical sampling via Prony's method ⋮ Sampling in the range of the analysis operator of a continuous frame having unitary structure

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