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Looking at the Fourier transform from a more functional analytic point of view, norm-estimates in terms of the Plancherel identity and the Hausdorff-Young inequality are proven. Finally, the Hilbert transform is discussed briefly.

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Norm Estimates for the Fourier Transform

  • 章节

  • 发表日期：

    2025年

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  • Hannah Geiss,
  • Stefan Geiss

摘要

Looking at the Fourier transform from a more functional analytic point of view, norm-estimates in terms of the Plancherel identity and the Hausdorff-Young inequality are proven. Finally, the Hilbert transform is discussed briefly.