On a sampling expansion with partial derivatives for functions of several variables

DOI10.2298/FIL2010339NzbMath1499.41005arXiv1908.07351MaRDI QIDQ5081181

Saulius Norvidas

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07351

zbMATH Keywords

entire functionssampling seriesBernstein's spacesmultidimensional sampling with derivatives

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Entire functions of several complex variables (32A15)

Related Items (1)

A multidimensional Hermite-Gauss sampling formula for analytic functions of several variables

Cites Work

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• Linear and complex analysis. Problem book. 199 research problems
• On Fourier transforms with small support
• Sampling approximation of continuous functions with multidimensional domain (Corresp.)
• On Landau's Necessary Density Conditions for Sampling and Interpolation of Band-Limited Functions
• A bivariate sampling series involving mixed partial derivatives
• A generalization of the sampling theorem

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