Author

Felix Bartel

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Preprint Aug 2026

Required Number of Points in $L_2$ Marcinkiewicz-Zygmund Inequalities

We determine, up to absolute constants, the worst-case number of point evaluations required for a weighted $L_2$ Marcinkiewicz-Zygmund inequality for an $m$-dimensional complex function space. If $0<\varepsilon<1$ is the relative distortion, this number is $$\Theta\Big(\min\Big\{m^2,\frac{m}{\varepsilon^2}\Big\}\Big),$...

Felix Bartel · 0 citations

Preprint Sep 2026

Extended dynamic mode decomposition with Fourier dictionaries: Error bounds and fast implementation

The Koopman operator has gained considerable attention in dynamical systems due to its capability to provide a linear viewpoint for nonlinear systems using data-driven methods such as extended dynamic mode decomposition (EDMD). In this work, we suggest an EDMD-variant with a Fourier dictionary on the $d$-dimensional to...

Felix Bartel, Sandra Ritter, M. Schaller et al. · 0 citations