Multivariate form of Hermite sampling series

DOI10.1007/s11766-024-4024-9MaRDI QIDQ6576547

Rashad M. Asharabi

Publication date: 22 July 2024

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

zbMATH Keywords

contour integraltruncation errormultidimensional sampling seriessampling with partial derivatives

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Multidimensional problems (41A63) Multiple sequences and series (40B05) Sampling theory in information and communication theory (94A20) Representations of entire functions of one complex variable by series and integrals (30D10)

Cites Work

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• Truncation error estimates for generalized Hermite sampling
• Sampling theorem of Hermite type and aliasing error on the Sobolev class of functions
• On the \(L^ p\) theory of cardinal series
• ERROR ANALYSIS ASSOCIATED WITH UNIFORM HERMITE INTERPOLATIONS OF BANDLIMITED FUNCTIONS
• On Sinc-Based Method in Computing Eigenvalues of Boundary-Value Problems
• A bivariate sampling series involving mixed partial derivatives
• On two-dimensional classical and Hermite sampling
• On a sampling expansion with partial derivatives for functions of several variables
• MULTIVARIATE SAMPLING THEOREMS ASSOCIATED WITH MULTIPARAMETER DIFFERENTIAL OPERATORS
• GENERALIZED HERMITE INTERPOLATION AND SAMPLING THEOREM INVOLVING DERIVATIVES

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