Whittaker-Kotel'nikov-Shannon approximation of \(\phi\)-sub-Gaussian random processes

DOI10.1016/j.jmaa.2016.05.052zbMath1342.60048arXiv1606.01062OpenAlexW2417477902MaRDI QIDQ302043

Andrew Ya. Olenko, Yuriy Vasil'ovich Kozachenko

Publication date: 4 July 2016

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

Full work available at URL: https://arxiv.org/abs/1606.01062

zbMATH Keywords

uniform convergencesampling theorem\(L_p\)-convergencebandlimited processessub-Gaussian processestruncation error upper bound

Mathematics Subject Classification ID

Gaussian processes (60G15) Limit theorems in probability theory (60F99) (L^p)-limit theorems (60F25)

Related Items (3)

Asymptotics of running maxima for \(\varphi \)-subgaussian random double arrays ⋮ Construction of the Karhunen–Loève model for an input Gaussian process in a linear system by using the output process ⋮ Estimates for distribution of suprema of solutions to higher-order partial differential equations with random initial conditions

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