On multidimensional sinc-Gauss sampling formulas for analytic functions
On multidimensional sinc-Gauss sampling formulas for analytic functions
Using complex analysis, we present new error estimates for multidimensional sinc-Gauss sampling formulas for multivariate analytic functions and their partial derivatives, which are valid for wide classes of functions. The first class consists of all n-variate entire functions of exponential type satisfying a decay condition, while the second is the …