2 papers
math.NA2026
Computation of the Fourier transform for a continuous integrable function via NFFT
Daniel Potts, Manfred Tasche
We investigate the approximation of continuous Fourier transforms by trigonometric sampling polynomials and their efficient evaluation by the nonequispaced fast Fourier transform (…
math.NA2025
Some remarks on regularized Shannon sampling formulas
Melanie Kircheis, Daniel Potts, Manfred Tasche
The fast reconstruction of a bandlimited function from its sample data is an essential problem in signal processing. In this paper, we consider the widely used Gaussian regularized…