Karlheinz Gröchenig How well does the DFT approximate the Fourier transform on R? 2026.03.10
Автор: CodEx Seminar
Загружено: 2026-03-10
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Speaker: Karlheinz Gröchenig (University of Vienna)
Title: How well does the discrete Fourier transform approximate the Fourier transform on R?
Date: March 10, 2026
Abstract: 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 error estimates for this procedure in terms of the decay and smoothness of f. The analysis provides an asymptotically optimal recipe of how to relate the number of samples, the sampling interval, and the grid size.
This is joint work with Martin Ehler and Andreas Klotz.
Note: Video Title Edited for Length
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