K. Gröchenig

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20242026

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math.NA2026

Quantitative Constraints for Stable Sampling on the Sphere

Martin Ehler, Karlheinz GrÃ¶chenig

We derive quantitative volume constraints for sampling measures $I^¼_{t}$ on the unit sphere $S^{d}$ that satisfy Marcinkiewicz-Zygmund inequalities of order $t$ . Using precise…

math.NA2025

Quantitative estimates: How well does the discrete Fourier transform approximate the Fourier transform on $R$

Martin Ehler, Karlheinz GrÃ¶chenig, Andreas Klotz

In order to compute the Fourier transform of a function $f$ on the real line numerically, one samples $f$ on a grid and then takes the discrete Fourier transform. We derive exact e…

Quantitative Constraints for Stable Sampling on the Sphere

Quantitative estimates: How well does the discrete Fourier transform approximate the Fourier transform on R

Quantitative estimates: How well does the discrete Fourier transform approximate the Fourier transform on $R$