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

DOI10.1007/S11075-023-01641-7OpenAlexW4386010273MaRDI QIDQ6126592

Rashad M. Asharabi, Felwah H. Al-Haddad

Publication date: 9 April 2024

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-023-01641-7

zbMATH Keywords

convergence factormultivariate analytic functionssampling with partial derivativesmultidimensional Hermite sampling

Mathematics Subject Classification ID

Several complex variables and analytic spaces (32-XX)

Cites Work

• Generalized sinc-Gaussian sampling involving derivatives
• Complex analytic approach to the sinc-Gauss sampling formula
• Generalized bivariate Hermite-Gauss sampling
• Localized sampling in the presence of noise
• Accurate sampling formula for approximating the partial derivatives of bivariate analytic functions
• On multidimensional sinc-Gauss sampling formulas for analytic functions
• Convergence Analysis of the Gaussian Regularized Shannon Sampling Series
• On two-dimensional classical and Hermite sampling
• On the regularized Whittaker-Kotel’nikov-Shannon sampling formula
• On a sampling expansion with partial derivatives for functions of several variables
• A Modification of Hermite Sampling with a Gaussian Multiplier
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