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§1.14(v) Hilbert Transform►The Hilbert transform of a real-valued function is defined in the following equivalent ways: … ►
There have been extensive changes in the notation used for the integral transforms defined in §1.14. These changes are applied throughout the DLMF. The following table summarizes the changes.
Previously, for the Fourier, Fourier cosine and Fourier sine transforms, either temporary local notations were used or the Fourier integrals were written out explicitly.