Lectures on the Fourier Transform and Its Applications

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Fourier transformationsTransformations (Mathematics)Harmonic analysis on Euclidean spaces -- Harmonic analysis in one variable -- Fourier and Fourier-Stieltjes transforms and other transforms of Fourier typeHarmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Fourier and Fourier-Stieltjes transforms and other transforms of Fourier typeNumerical analysis -- Numerical methods in Fourier analysis -- Discrete and fast Fourier transformsInformation and communication, circuits -- Communication, information -- Sampling theoryFunctional analysis -- Distributions, generalized functions, distribution spaces -- Operations with distributions