Fourier, Hadamard, and Hilbert Transforms in Chemistry

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Transform techniques, particularly Fourier, Hadamard, and Hilbert transforms, play a crucial role in enhancing data acquisition and reduction in chemical experiments, especially those analyzing responses as a function of frequency. This volume aims to inform chemists about these methods, highlighting their historical application in infrared astronomy for improving signal-to-noise ratios. The author, a pioneer in applying these techniques in chemistry, provides insights into their basis, advantages, and a range of applications, reflecting on their evolution since the 1950s.