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math.NA2023
Regularized Shannon sampling formulas related to the special affine Fourier transform
Frank Filbir, Manfred Tasche, Anna Veselovska
In this paper, we present new regularized Shannon sampling formulas related to the special affine Fourier transform (SAFT). These sampling formulas use localized sampling with spec…
math.NA2023★ 6 cited
On numerical realizations of Shannon's sampling theorem
Melanie Kircheis, Daniel Potts, Manfred Tasche
In this paper, we discuss some numerical realizations of Shannon's sampling theorem. First we show the poor convergence of classical Shannon sampling sums by presenting sharp upper…